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Finding the Fourth Proportional to 6,494.43, 9,736.18 and 2,596.71

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Solution

The fourth proportional to 6,494.43, 9,736.18 and 2,596.71 is: 3,892.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.43 : 9,736.18 = 2,596.71 : x
  2. Step 2: Convert to fraction form
    6,494.43/9,736.18 = 2,596.71/x
  3. Step 3: Cross multiply
    6,494.43x = 9,736.18 × 2,596.71
  4. Step 4: Simplify right side
    6,494.43x = 25,282,029.48
  5. Step 5: Solve for x
    x = 25,282,029.48/6,494.43
  6. Step 6: Final answer
    x = 3,892.88

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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.