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Finding the Fourth Proportional to 6,778.58, 10,168.82 and 2,098.98

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Solution

The fourth proportional to 6,778.58, 10,168.82 and 2,098.98 is: 3,148.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,778.58 : 10,168.82 = 2,098.98 : x
  2. Step 2: Convert to fraction form
    6,778.58/10,168.82 = 2,098.98/x
  3. Step 3: Cross multiply
    6,778.58x = 10,168.82 × 2,098.98
  4. Step 4: Simplify right side
    6,778.58x = 21,344,149.80
  5. Step 5: Solve for x
    x = 21,344,149.80/6,778.58
  6. Step 6: Final answer
    x = 3,148.76

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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.