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Finding the Fourth Proportional to 6,874.68, 10,311.90 and 2,194.98

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Solution

The fourth proportional to 6,874.68, 10,311.90 and 2,194.98 is: 3,292.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,874.68 : 10,311.90 = 2,194.98 : x
  2. Step 2: Convert to fraction form
    6,874.68/10,311.90 = 2,194.98/x
  3. Step 3: Cross multiply
    6,874.68x = 10,311.90 × 2,194.98
  4. Step 4: Simplify right side
    6,874.68x = 22,634,414.26
  5. Step 5: Solve for x
    x = 22,634,414.26/6,874.68
  6. Step 6: Final answer
    x = 3,292.43

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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.