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Finding the Fourth Proportional to 6,714.87, 10,076.90 and 2,332.29

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Solution

The fourth proportional to 6,714.87, 10,076.90 and 2,332.29 is: 3,500.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714.87 : 10,076.90 = 2,332.29 : x
  2. Step 2: Convert to fraction form
    6,714.87/10,076.90 = 2,332.29/x
  3. Step 3: Cross multiply
    6,714.87x = 10,076.90 × 2,332.29
  4. Step 4: Simplify right side
    6,714.87x = 23,502,241.44
  5. Step 5: Solve for x
    x = 23,502,241.44/6,714.87
  6. Step 6: Final answer
    x = 3,500.03

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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.