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Finding the Fourth Proportional to 6,296.87, 9,447.17 and 2,599.31

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Solution

The fourth proportional to 6,296.87, 9,447.17 and 2,599.31 is: 3,899.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.87 : 9,447.17 = 2,599.31 : x
  2. Step 2: Convert to fraction form
    6,296.87/9,447.17 = 2,599.31/x
  3. Step 3: Cross multiply
    6,296.87x = 9,447.17 × 2,599.31
  4. Step 4: Simplify right side
    6,296.87x = 24,556,134.07
  5. Step 5: Solve for x
    x = 24,556,134.07/6,296.87
  6. Step 6: Final answer
    x = 3,899.73

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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.