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Finding the Fourth Proportional to 8,593, 12,891.90 and 2,437

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Solution

The fourth proportional to 8,593, 12,891.90 and 2,437 is: 3,656.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,593 : 12,891.90 = 2,437 : x
  2. Step 2: Convert to fraction form
    8,593/12,891.90 = 2,437/x
  3. Step 3: Cross multiply
    8,593x = 12,891.90 × 2,437
  4. Step 4: Simplify right side
    8,593x = 31,417,560.30
  5. Step 5: Solve for x
    x = 31,417,560.30/8,593
  6. Step 6: Final answer
    x = 3,656.18

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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.