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Finding the Fourth Proportional to 15,101.20, 20,839.94 and 8,387.46

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Solution

The fourth proportional to 15,101.20, 20,839.94 and 8,387.46 is: 11,574.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,101.20 : 20,839.94 = 8,387.46 : x
  2. Step 2: Convert to fraction form
    15,101.20/20,839.94 = 8,387.46/x
  3. Step 3: Cross multiply
    15,101.20x = 20,839.94 × 8,387.46
  4. Step 4: Simplify right side
    15,101.20x = 174,794,163.15
  5. Step 5: Solve for x
    x = 174,794,163.15/15,101.20
  6. Step 6: Final answer
    x = 11,574.85

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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.