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Finding the Fourth Proportional to 6,850.85, 10,262.48 and 3,147.93

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Solution

The fourth proportional to 6,850.85, 10,262.48 and 3,147.93 is: 4,715.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,850.85 : 10,262.48 = 3,147.93 : x
  2. Step 2: Convert to fraction form
    6,850.85/10,262.48 = 3,147.93/x
  3. Step 3: Cross multiply
    6,850.85x = 10,262.48 × 3,147.93
  4. Step 4: Simplify right side
    6,850.85x = 32,305,552.93
  5. Step 5: Solve for x
    x = 32,305,552.93/6,850.85
  6. Step 6: Final answer
    x = 4,715.56

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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.