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Finding the Fourth Proportional to 7,098.12, 10,651.86 and 2,481

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Solution

The fourth proportional to 7,098.12, 10,651.86 and 2,481 is: 3,723.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,098.12 : 10,651.86 = 2,481 : x
  2. Step 2: Convert to fraction form
    7,098.12/10,651.86 = 2,481/x
  3. Step 3: Cross multiply
    7,098.12x = 10,651.86 × 2,481
  4. Step 4: Simplify right side
    7,098.12x = 26,427,264.66
  5. Step 5: Solve for x
    x = 26,427,264.66/7,098.12
  6. Step 6: Final answer
    x = 3,723.14

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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.