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Finding the Fourth Proportional to 24,287.63, 36,432.90 and 7,648.20

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Solution

The fourth proportional to 24,287.63, 36,432.90 and 7,648.20 is: 11,472.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,287.63 : 36,432.90 = 7,648.20 : x
  2. Step 2: Convert to fraction form
    24,287.63/36,432.90 = 7,648.20/x
  3. Step 3: Cross multiply
    24,287.63x = 36,432.90 × 7,648.20
  4. Step 4: Simplify right side
    24,287.63x = 278,646,105.78
  5. Step 5: Solve for x
    x = 278,646,105.78/24,287.63
  6. Step 6: Final answer
    x = 11,472.76

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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.