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Finding the Fourth Proportional to 12,497.40, 18,753.85 and 5,101.85

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Solution

The fourth proportional to 12,497.40, 18,753.85 and 5,101.85 is: 7,655.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,497.40 : 18,753.85 = 5,101.85 : x
  2. Step 2: Convert to fraction form
    12,497.40/18,753.85 = 5,101.85/x
  3. Step 3: Cross multiply
    12,497.40x = 18,753.85 × 5,101.85
  4. Step 4: Simplify right side
    12,497.40x = 95,679,304.11
  5. Step 5: Solve for x
    x = 95,679,304.11/12,497.40
  6. Step 6: Final answer
    x = 7,655.94

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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.