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Finding the Fourth Proportional to 8,432.10, 12,649.52 and 3,167.52

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Solution

The fourth proportional to 8,432.10, 12,649.52 and 3,167.52 is: 4,751.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,432.10 : 12,649.52 = 3,167.52 : x
  2. Step 2: Convert to fraction form
    8,432.10/12,649.52 = 3,167.52/x
  3. Step 3: Cross multiply
    8,432.10x = 12,649.52 × 3,167.52
  4. Step 4: Simplify right side
    8,432.10x = 40,067,607.59
  5. Step 5: Solve for x
    x = 40,067,607.59/8,432.10
  6. Step 6: Final answer
    x = 4,751.79

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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.