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Finding the Fourth Proportional to 24,280.76, 36,423.76 and 7,641.30

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Solution

The fourth proportional to 24,280.76, 36,423.76 and 7,641.30 is: 11,462.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,280.76 : 36,423.76 = 7,641.30 : x
  2. Step 2: Convert to fraction form
    24,280.76/36,423.76 = 7,641.30/x
  3. Step 3: Cross multiply
    24,280.76x = 36,423.76 × 7,641.30
  4. Step 4: Simplify right side
    24,280.76x = 278,324,877.29
  5. Step 5: Solve for x
    x = 278,324,877.29/24,280.76
  6. Step 6: Final answer
    x = 11,462.77

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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.