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Finding the Fourth Proportional to 6,393, 9,584.22 and 3,104.40

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Solution

The fourth proportional to 6,393, 9,584.22 and 3,104.40 is: 4,654.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,393 : 9,584.22 = 3,104.40 : x
  2. Step 2: Convert to fraction form
    6,393/9,584.22 = 3,104.40/x
  3. Step 3: Cross multiply
    6,393x = 9,584.22 × 3,104.40
  4. Step 4: Simplify right side
    6,393x = 29,753,252.57
  5. Step 5: Solve for x
    x = 29,753,252.57/6,393
  6. Step 6: Final answer
    x = 4,654.04

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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.