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Finding the Fourth Proportional to 6,830.52, 10,246.86 and 2,447.88

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Solution

The fourth proportional to 6,830.52, 10,246.86 and 2,447.88 is: 3,672.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830.52 : 10,246.86 = 2,447.88 : x
  2. Step 2: Convert to fraction form
    6,830.52/10,246.86 = 2,447.88/x
  3. Step 3: Cross multiply
    6,830.52x = 10,246.86 × 2,447.88
  4. Step 4: Simplify right side
    6,830.52x = 25,083,083.66
  5. Step 5: Solve for x
    x = 25,083,083.66/6,830.52
  6. Step 6: Final answer
    x = 3,672.21

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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.