1. **State the problem:** We need to find how many inches are in 17.5 meters given that 1 inch equals 1.5 meters. 2. **Identify the formula:** To convert meters to inches, use the conversion factor: $$\text{inches} = \frac{\text{meters}}{\text{meters per inch}}$$ 3. **Apply the given values:** Here, 1 inch = 1.5 meters, so meters per inch = 1.5. 4. **Calculate:** $$\text{inches} = \frac{17.5}{1.5}$$ 5. **Simplify the fraction:** $$\text{inches} = \frac{\cancel{17.5}}{\cancel{1.5}} = \frac{175}{15}$$ 6. **Divide numerator and denominator by 5:** $$\text{inches} = \frac{175 \div 5}{15 \div 5} = \frac{35}{3}$$ 7. **Convert to decimal:** $$\text{inches} = 11.666\ldots \approx 11.67$$ **Final answer:** There are approximately **11.67 inches** in 17.5 meters given the conversion 1 inch = 1.5 meters.