Chapter 6.2, Problem 11E

To determine

To solve the proportion by using equivalent ratios.

Answer to Problem 11E

The solution of the given proportion is $a=11$ .

Explanation of Solution

Given information : the proportion is given as,

  $\frac{a}{12}=\frac{33}{36}$

Calculation : the given proportion can be calculated as,

  $\begin{array}{l}\frac{a}{12}=\frac{33}{36}\\ \frac{a}{12\times 3}=\frac{33}{36}\left[\text{compare denominators}\right]\\ \frac{a\times 3}{36}=\frac{33}{36}\left[\text{find }a\right]\\ 3a=33\\ 3a÷3=33÷3\left[\text{divide each by 3}\right]\\ a=11\end{array}$

Because,

  $\begin{array}{l}3a=33\\ a=11\end{array}$