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Finding the Fourth Proportional to 24,747.50, 37,113.96 and 7,213.16

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Solution

The fourth proportional to 24,747.50, 37,113.96 and 7,213.16 is: 10,817.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,747.50 : 37,113.96 = 7,213.16 : x
  2. Step 2: Convert to fraction form
    24,747.50/37,113.96 = 7,213.16/x
  3. Step 3: Cross multiply
    24,747.50x = 37,113.96 × 7,213.16
  4. Step 4: Simplify right side
    24,747.50x = 267,708,931.71
  5. Step 5: Solve for x
    x = 267,708,931.71/24,747.50
  6. Step 6: Final answer
    x = 10,817.62

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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.