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Finding the Fourth Proportional to 6,694.62, 9,238.43 and 3,710.49

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Solution

The fourth proportional to 6,694.62, 9,238.43 and 3,710.49 is: 5,120.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,694.62 : 9,238.43 = 3,710.49 : x
  2. Step 2: Convert to fraction form
    6,694.62/9,238.43 = 3,710.49/x
  3. Step 3: Cross multiply
    6,694.62x = 9,238.43 × 3,710.49
  4. Step 4: Simplify right side
    6,694.62x = 34,279,083.58
  5. Step 5: Solve for x
    x = 34,279,083.58/6,694.62
  6. Step 6: Final answer
    x = 5,120.39

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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.