Chapter 5 - Ratio and Proportion - 5.4 Solving Problems - 5.4 Exercises - Page 357: 24

$x = 7\frac{1}{3}$

$\frac{1\frac{5}{6}}{x} = \frac{\frac{3}{14}}{\frac{6}{7}}$ $(1\frac{5}{6})(\frac{6}{7}) = (\frac{3}{14})(x)$ $(\frac{11}{6})(\frac{6}{7}) = (\frac{3}{14})(x)$ $\frac{11}{7} = (\frac{3}{14})(x)$ $(\frac{11}{7})(\frac{14}{3}) = (\frac{3}{14})(\frac{14}{3})(x)$ $\frac{154}{21} = x$ $7\frac{7}{21} = x$ $7\frac{1}{3} = x$