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Finding the Fourth Proportional to 6,396.64, 9,589.29 and 2,498.11

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Solution

The fourth proportional to 6,396.64, 9,589.29 and 2,498.11 is: 3,744.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,396.64 : 9,589.29 = 2,498.11 : x
  2. Step 2: Convert to fraction form
    6,396.64/9,589.29 = 2,498.11/x
  3. Step 3: Cross multiply
    6,396.64x = 9,589.29 × 2,498.11
  4. Step 4: Simplify right side
    6,396.64x = 23,955,101.24
  5. Step 5: Solve for x
    x = 23,955,101.24/6,396.64
  6. Step 6: Final answer
    x = 3,744.95

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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.