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Finding the Fourth Proportional to 6,874.68, 10,311.54 and 2,194.60

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Solution

The fourth proportional to 6,874.68, 10,311.54 and 2,194.60 is: 3,291.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,874.68 : 10,311.54 = 2,194.60 : x
  2. Step 2: Convert to fraction form
    6,874.68/10,311.54 = 2,194.60/x
  3. Step 3: Cross multiply
    6,874.68x = 10,311.54 × 2,194.60
  4. Step 4: Simplify right side
    6,874.68x = 22,629,705.68
  5. Step 5: Solve for x
    x = 22,629,705.68/6,874.68
  6. Step 6: Final answer
    x = 3,291.75

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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.