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Finding the Fourth Proportional to 6,874.16, 10,313.49 and 2,194.94

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Solution

The fourth proportional to 6,874.16, 10,313.49 and 2,194.94 is: 3,293.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,874.16 : 10,313.49 = 2,194.94 : x
  2. Step 2: Convert to fraction form
    6,874.16/10,313.49 = 2,194.94/x
  3. Step 3: Cross multiply
    6,874.16x = 10,313.49 × 2,194.94
  4. Step 4: Simplify right side
    6,874.16x = 22,637,491.74
  5. Step 5: Solve for x
    x = 22,637,491.74/6,874.16
  6. Step 6: Final answer
    x = 3,293.13

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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.