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Finding the Fourth Proportional to 6,778.12, 10,149 and 6,566.80

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Solution

The fourth proportional to 6,778.12, 10,149 and 6,566.80 is: 9,832.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,778.12 : 10,149 = 6,566.80 : x
  2. Step 2: Convert to fraction form
    6,778.12/10,149 = 6,566.80/x
  3. Step 3: Cross multiply
    6,778.12x = 10,149 × 6,566.80
  4. Step 4: Simplify right side
    6,778.12x = 66,646,453.20
  5. Step 5: Solve for x
    x = 66,646,453.20/6,778.12
  6. Step 6: Final answer
    x = 9,832.59

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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.