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Finding the Fourth Proportional to 6,835.26, 10,254.50 and 2,218.26

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Solution

The fourth proportional to 6,835.26, 10,254.50 and 2,218.26 is: 3,327.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,835.26 : 10,254.50 = 2,218.26 : x
  2. Step 2: Convert to fraction form
    6,835.26/10,254.50 = 2,218.26/x
  3. Step 3: Cross multiply
    6,835.26x = 10,254.50 × 2,218.26
  4. Step 4: Simplify right side
    6,835.26x = 22,747,147.17
  5. Step 5: Solve for x
    x = 22,747,147.17/6,835.26
  6. Step 6: Final answer
    x = 3,327.91

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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.