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Finding the Fourth Proportional to 11,149.38, 16,702.38 and 6,204

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Solution

The fourth proportional to 11,149.38, 16,702.38 and 6,204 is: 9,293.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,149.38 : 16,702.38 = 6,204 : x
  2. Step 2: Convert to fraction form
    11,149.38/16,702.38 = 6,204/x
  3. Step 3: Cross multiply
    11,149.38x = 16,702.38 × 6,204
  4. Step 4: Simplify right side
    11,149.38x = 103,621,565.52
  5. Step 5: Solve for x
    x = 103,621,565.52/11,149.38
  6. Step 6: Final answer
    x = 9,293.93

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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.