# Chapter 7 - Section 7.6 - Proportions and Problem Solving with Rational Equations - Exercise Set: 17

Number is 2

#### Work Step by Step

Let the number be $\rightarrow$ x Thus reciprocal of x $\rightarrow$ $\frac{1}{x}$ Thus 3 times the reciprocal of x $\rightarrow$ $\frac{3(1)}{x}$ = $\frac{3}{x}$ 9 times reciprocal of 6 $\rightarrow$ 9 ($\frac{1}{6}$) = $\frac{3}{2}$ Given: $\frac{3}{x}$ = $\frac{3}{2}$ Thus x = $\frac{2(3)}{3}$ = 2

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