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Finding the Fourth Proportional to 6,874.56, 10,313.04 and 2,194.38

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Solution

The fourth proportional to 6,874.56, 10,313.04 and 2,194.38 is: 3,291.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,874.56 : 10,313.04 = 2,194.38 : x
  2. Step 2: Convert to fraction form
    6,874.56/10,313.04 = 2,194.38/x
  3. Step 3: Cross multiply
    6,874.56x = 10,313.04 × 2,194.38
  4. Step 4: Simplify right side
    6,874.56x = 22,630,728.72
  5. Step 5: Solve for x
    x = 22,630,728.72/6,874.56
  6. Step 6: Final answer
    x = 3,291.95

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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.