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Finding the Fourth Proportional to 12,247.38, 16,901.50 and 6,658.50

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Solution

The fourth proportional to 12,247.38, 16,901.50 and 6,658.50 is: 9,188.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,247.38 : 16,901.50 = 6,658.50 : x
  2. Step 2: Convert to fraction form
    12,247.38/16,901.50 = 6,658.50/x
  3. Step 3: Cross multiply
    12,247.38x = 16,901.50 × 6,658.50
  4. Step 4: Simplify right side
    12,247.38x = 112,538,637.75
  5. Step 5: Solve for x
    x = 112,538,637.75/12,247.38
  6. Step 6: Final answer
    x = 9,188.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.