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Finding the Fourth Proportional to 12,280.56, 16,947.24 and 6,691.56

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Solution

The fourth proportional to 12,280.56, 16,947.24 and 6,691.56 is: 9,234.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,280.56 : 16,947.24 = 6,691.56 : x
  2. Step 2: Convert to fraction form
    12,280.56/16,947.24 = 6,691.56/x
  3. Step 3: Cross multiply
    12,280.56x = 16,947.24 × 6,691.56
  4. Step 4: Simplify right side
    12,280.56x = 113,403,473.29
  5. Step 5: Solve for x
    x = 113,403,473.29/12,280.56
  6. Step 6: Final answer
    x = 9,234.39

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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.