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Finding the Fourth Proportional to 27,115.46, 40,669 and 7,395.62

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Solution

The fourth proportional to 27,115.46, 40,669 and 7,395.62 is: 11,092.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,115.46 : 40,669 = 7,395.62 : x
  2. Step 2: Convert to fraction form
    27,115.46/40,669 = 7,395.62/x
  3. Step 3: Cross multiply
    27,115.46x = 40,669 × 7,395.62
  4. Step 4: Simplify right side
    27,115.46x = 300,772,469.78
  5. Step 5: Solve for x
    x = 300,772,469.78/27,115.46
  6. Step 6: Final answer
    x = 11,092.29

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1.5x scale

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.