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Finding the Fourth Proportional to 7,500, 11,249.16 and 2,569

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Solution

The fourth proportional to 7,500, 11,249.16 and 2,569 is: 3,853.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,500 : 11,249.16 = 2,569 : x
  2. Step 2: Convert to fraction form
    7,500/11,249.16 = 2,569/x
  3. Step 3: Cross multiply
    7,500x = 11,249.16 × 2,569
  4. Step 4: Simplify right side
    7,500x = 28,899,092.04
  5. Step 5: Solve for x
    x = 28,899,092.04/7,500
  6. Step 6: Final answer
    x = 3,853.21

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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.