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Finding the Fourth Proportional to 6,691.38, 9,233.82 and 4,038.18

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Solution

The fourth proportional to 6,691.38, 9,233.82 and 4,038.18 is: 5,572.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,691.38 : 9,233.82 = 4,038.18 : x
  2. Step 2: Convert to fraction form
    6,691.38/9,233.82 = 4,038.18/x
  3. Step 3: Cross multiply
    6,691.38x = 9,233.82 × 4,038.18
  4. Step 4: Simplify right side
    6,691.38x = 37,287,827.25
  5. Step 5: Solve for x
    x = 37,287,827.25/6,691.38
  6. Step 6: Final answer
    x = 5,572.52

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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.