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Finding the Fourth Proportional to 10,234.80, 15,343.20 and 6,937.20

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Solution

The fourth proportional to 10,234.80, 15,343.20 and 6,937.20 is: 10,399.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,234.80 : 15,343.20 = 6,937.20 : x
  2. Step 2: Convert to fraction form
    10,234.80/15,343.20 = 6,937.20/x
  3. Step 3: Cross multiply
    10,234.80x = 15,343.20 × 6,937.20
  4. Step 4: Simplify right side
    10,234.80x = 106,438,847.04
  5. Step 5: Solve for x
    x = 106,438,847.04/10,234.80
  6. Step 6: Final answer
    x = 10,399.70

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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.