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Finding the Fourth Proportional to 11,251.80, 16,862.88 and 8,142.24

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Solution

The fourth proportional to 11,251.80, 16,862.88 and 8,142.24 is: 12,202.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,251.80 : 16,862.88 = 8,142.24 : x
  2. Step 2: Convert to fraction form
    11,251.80/16,862.88 = 8,142.24/x
  3. Step 3: Cross multiply
    11,251.80x = 16,862.88 × 8,142.24
  4. Step 4: Simplify right side
    11,251.80x = 137,301,616.05
  5. Step 5: Solve for x
    x = 137,301,616.05/11,251.80
  6. Step 6: Final answer
    x = 12,202.64

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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.