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Finding the Fourth Proportional to 6,694.29, 10,039.12 and 2,744.43

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Solution

The fourth proportional to 6,694.29, 10,039.12 and 2,744.43 is: 4,115.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,694.29 : 10,039.12 = 2,744.43 : x
  2. Step 2: Convert to fraction form
    6,694.29/10,039.12 = 2,744.43/x
  3. Step 3: Cross multiply
    6,694.29x = 10,039.12 × 2,744.43
  4. Step 4: Simplify right side
    6,694.29x = 27,551,611.91
  5. Step 5: Solve for x
    x = 27,551,611.91/6,694.29
  6. Step 6: Final answer
    x = 4,115.69

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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.