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Finding the Fourth Proportional to 10,096.66, 15,147.38 and 3,171.16

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Solution

The fourth proportional to 10,096.66, 15,147.38 and 3,171.16 is: 4,757.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,096.66 : 15,147.38 = 3,171.16 : x
  2. Step 2: Convert to fraction form
    10,096.66/15,147.38 = 3,171.16/x
  3. Step 3: Cross multiply
    10,096.66x = 15,147.38 × 3,171.16
  4. Step 4: Simplify right side
    10,096.66x = 48,034,735.62
  5. Step 5: Solve for x
    x = 48,034,735.62/10,096.66
  6. Step 6: Final answer
    x = 4,757.49

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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.