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Finding the Fourth Proportional to 24,654.22, 36,983.22 and 7,124.20

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Solution

The fourth proportional to 24,654.22, 36,983.22 and 7,124.20 is: 10,686.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,654.22 : 36,983.22 = 7,124.20 : x
  2. Step 2: Convert to fraction form
    24,654.22/36,983.22 = 7,124.20/x
  3. Step 3: Cross multiply
    24,654.22x = 36,983.22 × 7,124.20
  4. Step 4: Simplify right side
    24,654.22x = 263,475,855.92
  5. Step 5: Solve for x
    x = 263,475,855.92/24,654.22
  6. Step 6: Final answer
    x = 10,686.85

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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.