6. (6 points) The circumference of the front wheel of a bicycle is $1 \frac{1}{3}$ meters, and the circumference of the rear wheel is $1 \frac{1}{2}$ meters. When the front wheel has turned 25 more times than the rear wheel, the bicycle has traveled $\qquad$ meters.
【Solution】Solution: According to the analysis, first find the number of circles the rear wheel of the bicycle has traveled. According to the problem, for each circle, the front wheel travels more than the rear wheel by: $1 \frac{1}{2}-1 \frac{1}{3}=\frac{1}{6}$ meters,
The front wheel rotates 25 more times than the rear wheel, which means it travels an additional $25 \times 1 \frac{1}{3}=\frac{100}{3}$, so the number of circles the rear wheel has traveled can be calculated as: $\frac{100}{3} \div \frac{1}{6}=$ 200 (circles);

The bicycle has traveled: $200 \times 1 \frac{1}{2}=300$ meters.
Therefore, the answer is: 300 .