Question

proportions with fractions these are similar figures. solve for x. 6 in. 4 1/2 in. 12 in. x 11 in. 9 in. 8 1/2 in.

Explanation:

Step1: Set up proportion

For similar figures, the ratios of corresponding sides are equal. So we have $\frac{6}{12}=\frac{4\frac{1}{2}}{x}$.

Step2: Cross - multiply

$6x = 12\times4\frac{1}{2}$. First, convert $4\frac{1}{2}=\frac{9}{2}$. Then $12\times\frac{9}{2}=54$. So $6x = 54$.

Step3: Solve for x

Divide both sides of the equation $6x = 54$ by 6. $x=\frac{54}{6}=9$.

Answer:

$9$ in.