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Finding the Fourth Proportional to 12,227.55, 16,874.09 and 7,191.97

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Solution

The fourth proportional to 12,227.55, 16,874.09 and 7,191.97 is: 9,924.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,227.55 : 16,874.09 = 7,191.97 : x
  2. Step 2: Convert to fraction form
    12,227.55/16,874.09 = 7,191.97/x
  3. Step 3: Cross multiply
    12,227.55x = 16,874.09 × 7,191.97
  4. Step 4: Simplify right side
    12,227.55x = 121,357,949.06
  5. Step 5: Solve for x
    x = 121,357,949.06/12,227.55
  6. Step 6: Final answer
    x = 9,924.96

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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.