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Finding the Fourth Proportional to 6,874.62, 10,311.42 and 2,194.44

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Solution

The fourth proportional to 6,874.62, 10,311.42 and 2,194.44 is: 3,291.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,874.62 : 10,311.42 = 2,194.44 : x
  2. Step 2: Convert to fraction form
    6,874.62/10,311.42 = 2,194.44/x
  3. Step 3: Cross multiply
    6,874.62x = 10,311.42 × 2,194.44
  4. Step 4: Simplify right side
    6,874.62x = 22,627,792.50
  5. Step 5: Solve for x
    x = 22,627,792.50/6,874.62
  6. Step 6: Final answer
    x = 3,291.50

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Half scale
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Double scale
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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.