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Finding the Fourth Proportional to 12,049.56, 18,049.13 and 7,645.19

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Solution

The fourth proportional to 12,049.56, 18,049.13 and 7,645.19 is: 11,451.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,049.56 : 18,049.13 = 7,645.19 : x
  2. Step 2: Convert to fraction form
    12,049.56/18,049.13 = 7,645.19/x
  3. Step 3: Cross multiply
    12,049.56x = 18,049.13 × 7,645.19
  4. Step 4: Simplify right side
    12,049.56x = 137,988,928.38
  5. Step 5: Solve for x
    x = 137,988,928.38/12,049.56
  6. Step 6: Final answer
    x = 11,451.78

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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.