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Finding the Fourth Proportional to 6,850.68, 10,276.08 and 2,170.61

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Solution

The fourth proportional to 6,850.68, 10,276.08 and 2,170.61 is: 3,255.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,850.68 : 10,276.08 = 2,170.61 : x
  2. Step 2: Convert to fraction form
    6,850.68/10,276.08 = 2,170.61/x
  3. Step 3: Cross multiply
    6,850.68x = 10,276.08 × 2,170.61
  4. Step 4: Simplify right side
    6,850.68x = 22,305,362.01
  5. Step 5: Solve for x
    x = 22,305,362.01/6,850.68
  6. Step 6: Final answer
    x = 3,255.93

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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.