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Finding the Fourth Proportional to 11,073.76, 16,617.12 and 6,147.52

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Solution

The fourth proportional to 11,073.76, 16,617.12 and 6,147.52 is: 9,224.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,073.76 : 16,617.12 = 6,147.52 : x
  2. Step 2: Convert to fraction form
    11,073.76/16,617.12 = 6,147.52/x
  3. Step 3: Cross multiply
    11,073.76x = 16,617.12 × 6,147.52
  4. Step 4: Simplify right side
    11,073.76x = 102,154,077.54
  5. Step 5: Solve for x
    x = 102,154,077.54/11,073.76
  6. Step 6: Final answer
    x = 9,224.88

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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.