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Finding the Fourth Proportional to 6,877.25, 10,315.75 and 2,197.22

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Solution

The fourth proportional to 6,877.25, 10,315.75 and 2,197.22 is: 3,295.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,877.25 : 10,315.75 = 2,197.22 : x
  2. Step 2: Convert to fraction form
    6,877.25/10,315.75 = 2,197.22/x
  3. Step 3: Cross multiply
    6,877.25x = 10,315.75 × 2,197.22
  4. Step 4: Simplify right side
    6,877.25x = 22,665,972.22
  5. Step 5: Solve for x
    x = 22,665,972.22/6,877.25
  6. Step 6: Final answer
    x = 3,295.79

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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.