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Finding the Fourth Proportional to 10,424.52, 15,616.20 and 6,714

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Solution

The fourth proportional to 10,424.52, 15,616.20 and 6,714 is: 10,057.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,424.52 : 15,616.20 = 6,714 : x
  2. Step 2: Convert to fraction form
    10,424.52/15,616.20 = 6,714/x
  3. Step 3: Cross multiply
    10,424.52x = 15,616.20 × 6,714
  4. Step 4: Simplify right side
    10,424.52x = 104,847,166.80
  5. Step 5: Solve for x
    x = 104,847,166.80/10,424.52
  6. Step 6: Final answer
    x = 10,057.75

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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.