To solve: The proportion \frac{y}{10}=\frac{13}{4}.

aspifsGak5u

aspifsGak5u

Answered question

2021-12-26

To solve:
The proportion y10=134.

Answer & Explanation

godsrvnt0706

godsrvnt0706

Beginner2021-12-27Added 31 answers

Approach:
The quotient of two numbers is called a ratio.
Ex. 23.
The ratio is no different from a fraction, except that a ratio is sometimes written using notation other than fractional notation.
Ex. The ratio of 5 to 7 can be written as fractional notation 57 or colon notation 5:7.
If a ratio contains decimal numbers or mixed numbers, then the ratio can be written only by the ratio of whole numbers.
Ex. 5.7:3 can be written as 5730.
A proportion is a statement that two ratios or rates are equal.
Ex. If ab and cd are two ratios, then ab=cd is a proportion.
If the cross product are equal, the proportion is true.
Ex. If ad=bc, then it is true.
If the cross products are not equal, the proportion is false.
Ex. If adbc, then it is false.
When one number of proportion is unknown, then use cross product to find the unknown number.
Ex. Find the unknown number x in the proportion 42=20x. It can be found by cross product. That is, x=10.
Calculation:
Determine the value of y in the proportion y10=134 by using the cross product.
y10=134
y4=1310
y=1304
y=32.5
Therefore, the value is y=32.5.
The final Statement:
The value of y in the proportion y10=134 is y=32.5
Jordan Mitchell

Jordan Mitchell

Beginner2021-12-28Added 31 answers

Step 1
y10=134
Multiply both sides by 10
y=134×10
Express 134×10 as a single fraction
y=12×104
Multiply 13 and 10 to get 130
y=1304
Reduce the fraction 1304 to lowest terms by extracting and canceling out 2.
y=652
karton

karton

Expert2022-01-04Added 613 answers

Step 1Cross Multiplicationthe equationy10=134Cross product:y×4=10×13Solving:y=10×134reducing:y=32.5Step 2The proportion10÷4=2.5Then:y÷13=2.5Solvingy=13×2.5y=32.5

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