\[\frac{4}{7} < x < \frac{6}{7}\]
\[\frac{4}{7} \cdot \frac{3}{3} = \frac{12}{21};\ \ \ \ \ \ \ \frac{6}{7} \cdot \frac{3}{3} = \frac{18}{21}\]
\[\frac{12}{21} < x < \frac{18}{21}\]
\[x = \left\{ \frac{13}{21};\ \ \frac{14}{21};\ \ \frac{15}{21};\ \ \frac{16}{21} \right\}.\]
\[Ответ:\ \frac{13}{21};\ \ \frac{14}{21};\ \ \frac{15}{21};\ \ \frac{16}{21}.\]