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Finding the Fourth Proportional to 6,874.68, 10,310.85 and 2,257.68

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Solution

The fourth proportional to 6,874.68, 10,310.85 and 2,257.68 is: 3,386.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,874.68 : 10,310.85 = 2,257.68 : x
  2. Step 2: Convert to fraction form
    6,874.68/10,310.85 = 2,257.68/x
  3. Step 3: Cross multiply
    6,874.68x = 10,310.85 × 2,257.68
  4. Step 4: Simplify right side
    6,874.68x = 23,278,599.83
  5. Step 5: Solve for x
    x = 23,278,599.83/6,874.68
  6. Step 6: Final answer
    x = 3,386.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.