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Finding the Fourth Proportional to 6,675, 10,006.24 and 3,116.92

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Solution

The fourth proportional to 6,675, 10,006.24 and 3,116.92 is: 4,672.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,675 : 10,006.24 = 3,116.92 : x
  2. Step 2: Convert to fraction form
    6,675/10,006.24 = 3,116.92/x
  3. Step 3: Cross multiply
    6,675x = 10,006.24 × 3,116.92
  4. Step 4: Simplify right side
    6,675x = 31,188,649.58
  5. Step 5: Solve for x
    x = 31,188,649.58/6,675
  6. Step 6: Final answer
    x = 4,672.46

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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.