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Finding the Fourth Proportional to 6,814.92, 10,222.50 and 2,197.92

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Solution

The fourth proportional to 6,814.92, 10,222.50 and 2,197.92 is: 3,296.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.92 : 10,222.50 = 2,197.92 : x
  2. Step 2: Convert to fraction form
    6,814.92/10,222.50 = 2,197.92/x
  3. Step 3: Cross multiply
    6,814.92x = 10,222.50 × 2,197.92
  4. Step 4: Simplify right side
    6,814.92x = 22,468,237.20
  5. Step 5: Solve for x
    x = 22,468,237.20/6,814.92
  6. Step 6: Final answer
    x = 3,296.92

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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.