Chapter 6.5, Problem 40HP

a.

To determine

To solve: the given proportion.

Answer to Problem 40HP

Solution of the given proportion is $x=6$

Explanation of Solution

Given information:

Consider $\frac{4}{x}=\frac{x}{9}$

Calculation:

Solve the proportion

  $\frac{4}{x}=\frac{x}{9}$

Cross multiply on both sides

$\begin{array}{l}{x}^2=36\\ x=6\end{array}$

Hence,

  $x=6$

b.

To determine

To solve: the given proportion.

Answer to Problem 40HP

Solution of the given proportion is $x=4$

Explanation of Solution

Given information:

Consider $\frac{2}{x}=\frac{x}{8}$

Calculation:

Solve the proportion

  $\frac{2}{x}=\frac{x}{8}$

Cross multiply on both sides

$\begin{array}{l}{x}^2=16\\ x=4\end{array}$

Hence,

  $x=4$

c.

To determine

To solve: the given proportion.

Answer to Problem 40HP

Solution of the given proportion is $x=10$

Explanation of Solution

Given information:

Consider $\frac{4}{x}=\frac{x}{25}$

Calculation:

Solve the proportion

  $\frac{4}{x}=\frac{x}{25}$

Cross multiply on both sides

$\begin{array}{l}{x}^2=100\\ x=10\end{array}$

Hence,

  $x=10$

a.

To determine

To solve: the given proportion.

Answer to Problem 40HP

Solution of the given proportion is $x=12$

Explanation of Solution

Given information:

Consider $\frac{9}{x}=\frac{x}{16}$

Calculation:

Solve the proportion

  $\frac{9}{x}=\frac{x}{16}$

Cross multiply on both sides

$\begin{array}{l}{x}^2=144\\ x=12\end{array}$

Hence,

  $x=12$