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Finding the Fourth Proportional to 6,575.12, 9,867.92 and 3,456.96

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Solution

The fourth proportional to 6,575.12, 9,867.92 and 3,456.96 is: 5,188.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,575.12 : 9,867.92 = 3,456.96 : x
  2. Step 2: Convert to fraction form
    6,575.12/9,867.92 = 3,456.96/x
  3. Step 3: Cross multiply
    6,575.12x = 9,867.92 × 3,456.96
  4. Step 4: Simplify right side
    6,575.12x = 34,112,950.43
  5. Step 5: Solve for x
    x = 34,112,950.43/6,575.12
  6. Step 6: Final answer
    x = 5,188.19

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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.