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Finding the Fourth Proportional to 12,591.38, 17,374.89 and 6,926.04

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Solution

The fourth proportional to 12,591.38, 17,374.89 and 6,926.04 is: 9,557.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,591.38 : 17,374.89 = 6,926.04 : x
  2. Step 2: Convert to fraction form
    12,591.38/17,374.89 = 6,926.04/x
  3. Step 3: Cross multiply
    12,591.38x = 17,374.89 × 6,926.04
  4. Step 4: Simplify right side
    12,591.38x = 120,339,113.58
  5. Step 5: Solve for x
    x = 120,339,113.58/12,591.38
  6. Step 6: Final answer
    x = 9,557.26

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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.