# 63:27 = 49: ?

Question
Linear equations and graphs
63:27 = 49: ?

2021-01-31
Let x be the missing number. We can write the proportion as: $$\displaystyle\frac{{63}}{{27}}=\frac{{49}}{{x}}$$
The left side can be reduced to lowest terms since both numbers have 9 as their factor: $$\displaystyle\frac{{{9}\cdot{7}}}{{{9}\cdot{3}}}=\frac{{49}}{{x}}$$
$$\displaystyle\frac{{7}}{{3}}=\frac{{49}}{{x}}$$
Cross multiply: 7x=3(49)
7x=147
Divide both sides by 7: x=21

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