Решите пропорцию: x:5 2/3=1 7/9:1 7/27.

\[x\ :5\frac{2}{3} = 1\frac{7}{9}\ :1\frac{7}{27}\]

\[1\frac{7}{27}x = 5\frac{2}{3} \cdot 1\frac{7}{9}\]

\[\frac{34}{27}x = \frac{17}{3} \cdot \frac{16}{9}\]

\[x = \frac{17}{3} \cdot \frac{16}{9} \cdot \frac{27}{34} = \frac{16}{2}\]

\[x = 8.\]