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Finding the Fourth Proportional to 6,830.25, 10,243.09 and 2,669.18

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Solution

The fourth proportional to 6,830.25, 10,243.09 and 2,669.18 is: 4,002.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830.25 : 10,243.09 = 2,669.18 : x
  2. Step 2: Convert to fraction form
    6,830.25/10,243.09 = 2,669.18/x
  3. Step 3: Cross multiply
    6,830.25x = 10,243.09 × 2,669.18
  4. Step 4: Simplify right side
    6,830.25x = 27,340,593.08
  5. Step 5: Solve for x
    x = 27,340,593.08/6,830.25
  6. Step 6: Final answer
    x = 4,002.87

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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.