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Finding the Fourth Proportional to 13,115.38, 18,099 and 7,147.10

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Solution

The fourth proportional to 13,115.38, 18,099 and 7,147.10 is: 9,862.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,115.38 : 18,099 = 7,147.10 : x
  2. Step 2: Convert to fraction form
    13,115.38/18,099 = 7,147.10/x
  3. Step 3: Cross multiply
    13,115.38x = 18,099 × 7,147.10
  4. Step 4: Simplify right side
    13,115.38x = 129,355,362.90
  5. Step 5: Solve for x
    x = 129,355,362.90/13,115.38
  6. Step 6: Final answer
    x = 9,862.88

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.