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Finding the Fourth Proportional to 7,471.75, 11,207.67 and 2,277.67

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Solution

The fourth proportional to 7,471.75, 11,207.67 and 2,277.67 is: 3,416.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,471.75 : 11,207.67 = 2,277.67 : x
  2. Step 2: Convert to fraction form
    7,471.75/11,207.67 = 2,277.67/x
  3. Step 3: Cross multiply
    7,471.75x = 11,207.67 × 2,277.67
  4. Step 4: Simplify right side
    7,471.75x = 25,527,373.73
  5. Step 5: Solve for x
    x = 25,527,373.73/7,471.75
  6. Step 6: Final answer
    x = 3,416.52

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.