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Finding the Fourth Proportional to 6,394.64, 9,584.64 and 2,691.32

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Solution

The fourth proportional to 6,394.64, 9,584.64 and 2,691.32 is: 4,033.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,394.64 : 9,584.64 = 2,691.32 : x
  2. Step 2: Convert to fraction form
    6,394.64/9,584.64 = 2,691.32/x
  3. Step 3: Cross multiply
    6,394.64x = 9,584.64 × 2,691.32
  4. Step 4: Simplify right side
    6,394.64x = 25,795,333.32
  5. Step 5: Solve for x
    x = 25,795,333.32/6,394.64
  6. Step 6: Final answer
    x = 4,033.90

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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.