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Finding the Fourth Proportional to 6,850.50, 10,277.37 and 2,233.50

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Solution

The fourth proportional to 6,850.50, 10,277.37 and 2,233.50 is: 3,350.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,850.50 : 10,277.37 = 2,233.50 : x
  2. Step 2: Convert to fraction form
    6,850.50/10,277.37 = 2,233.50/x
  3. Step 3: Cross multiply
    6,850.50x = 10,277.37 × 2,233.50
  4. Step 4: Simplify right side
    6,850.50x = 22,954,505.90
  5. Step 5: Solve for x
    x = 22,954,505.90/6,850.50
  6. Step 6: Final answer
    x = 3,350.78

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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.