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Rama bought a 12.4 cm souvenir of statue...

Rama bought a `12.4 cm` souvenir of statue of liberty. It the shopkeeper told her that the ratio between
the height of the statue and that of its souvenir is `750:1.` what is the height of the statue ?

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The correct Answer is:
To find the height of the statue based on the given ratio and the height of the souvenir, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Given Information**: - Height of the souvenir = 12.4 cm - Ratio of the height of the statue to the height of the souvenir = 750:1 2. **Set Up the Ratio**: - Let the height of the statue be represented as \( H \). - According to the ratio, we can express this relationship as: \[ \frac{H}{12.4} = \frac{750}{1} \] 3. **Cross-Multiply to Solve for \( H \)**: - Cross-multiplying gives us: \[ H = 750 \times 12.4 \] 4. **Calculate \( H \)**: - Now, we perform the multiplication: \[ H = 750 \times 12.4 = 9300 \text{ cm} \] 5. **Convert to Meters (if needed)**: - Since 1 meter = 100 cm, we can convert the height into meters: \[ H = \frac{9300}{100} = 93 \text{ meters} \] ### Final Answer: The height of the statue is **9300 cm** or **93 meters**.
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