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Finding the Fourth Proportional to 6,348.68, 9,524.55 and 2,648.86

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Solution

The fourth proportional to 6,348.68, 9,524.55 and 2,648.86 is: 3,973.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,348.68 : 9,524.55 = 2,648.86 : x
  2. Step 2: Convert to fraction form
    6,348.68/9,524.55 = 2,648.86/x
  3. Step 3: Cross multiply
    6,348.68x = 9,524.55 × 2,648.86
  4. Step 4: Simplify right side
    6,348.68x = 25,229,170.74
  5. Step 5: Solve for x
    x = 25,229,170.74/6,348.68
  6. Step 6: Final answer
    x = 3,973.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.