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Finding the Fourth Proportional to 10,462.50, 15,694.65 and 2,671.29

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Solution

The fourth proportional to 10,462.50, 15,694.65 and 2,671.29 is: 4,007.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,462.50 : 15,694.65 = 2,671.29 : x
  2. Step 2: Convert to fraction form
    10,462.50/15,694.65 = 2,671.29/x
  3. Step 3: Cross multiply
    10,462.50x = 15,694.65 × 2,671.29
  4. Step 4: Simplify right side
    10,462.50x = 41,924,961.60
  5. Step 5: Solve for x
    x = 41,924,961.60/10,462.50
  6. Step 6: Final answer
    x = 4,007.16

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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.