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Finding the Fourth Proportional to 11,374.39, 15,694.82 and 6,593.40

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Solution

The fourth proportional to 11,374.39, 15,694.82 and 6,593.40 is: 9,097.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,374.39 : 15,694.82 = 6,593.40 : x
  2. Step 2: Convert to fraction form
    11,374.39/15,694.82 = 6,593.40/x
  3. Step 3: Cross multiply
    11,374.39x = 15,694.82 × 6,593.40
  4. Step 4: Simplify right side
    11,374.39x = 103,482,193.22
  5. Step 5: Solve for x
    x = 103,482,193.22/11,374.39
  6. Step 6: Final answer
    x = 9,097.82

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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.