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Finding the Fourth Proportional to 6,314.88, 9,474.16 and 2,419.68

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Solution

The fourth proportional to 6,314.88, 9,474.16 and 2,419.68 is: 3,630.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.88 : 9,474.16 = 2,419.68 : x
  2. Step 2: Convert to fraction form
    6,314.88/9,474.16 = 2,419.68/x
  3. Step 3: Cross multiply
    6,314.88x = 9,474.16 × 2,419.68
  4. Step 4: Simplify right side
    6,314.88x = 22,924,435.47
  5. Step 5: Solve for x
    x = 22,924,435.47/6,314.88
  6. Step 6: Final answer
    x = 3,630.23

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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.