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Finding the Fourth Proportional to 12,532.14, 18,801.11 and 3,647.68

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Solution

The fourth proportional to 12,532.14, 18,801.11 and 3,647.68 is: 5,472.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,532.14 : 18,801.11 = 3,647.68 : x
  2. Step 2: Convert to fraction form
    12,532.14/18,801.11 = 3,647.68/x
  3. Step 3: Cross multiply
    12,532.14x = 18,801.11 × 3,647.68
  4. Step 4: Simplify right side
    12,532.14x = 68,580,432.92
  5. Step 5: Solve for x
    x = 68,580,432.92/12,532.14
  6. Step 6: Final answer
    x = 5,472.36

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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.