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Finding the Fourth Proportional to 6,814.97, 10,222.47 and 2,197.97

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Solution

The fourth proportional to 6,814.97, 10,222.47 and 2,197.97 is: 3,296.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.97 : 10,222.47 = 2,197.97 : x
  2. Step 2: Convert to fraction form
    6,814.97/10,222.47 = 2,197.97/x
  3. Step 3: Cross multiply
    6,814.97x = 10,222.47 × 2,197.97
  4. Step 4: Simplify right side
    6,814.97x = 22,468,669.61
  5. Step 5: Solve for x
    x = 22,468,669.61/6,814.97
  6. Step 6: Final answer
    x = 3,296.96

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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.