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Finding the Fourth Proportional to 6,691.72, 10,038.14 and 2,249.16

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Solution

The fourth proportional to 6,691.72, 10,038.14 and 2,249.16 is: 3,373.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,691.72 : 10,038.14 = 2,249.16 : x
  2. Step 2: Convert to fraction form
    6,691.72/10,038.14 = 2,249.16/x
  3. Step 3: Cross multiply
    6,691.72x = 10,038.14 × 2,249.16
  4. Step 4: Simplify right side
    6,691.72x = 22,577,382.96
  5. Step 5: Solve for x
    x = 22,577,382.96/6,691.72
  6. Step 6: Final answer
    x = 3,373.93

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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.