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Finding the Fourth Proportional to 8,276.10, 12,414.15 and 8,189.70

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Solution

The fourth proportional to 8,276.10, 12,414.15 and 8,189.70 is: 12,284.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,276.10 : 12,414.15 = 8,189.70 : x
  2. Step 2: Convert to fraction form
    8,276.10/12,414.15 = 8,189.70/x
  3. Step 3: Cross multiply
    8,276.10x = 12,414.15 × 8,189.70
  4. Step 4: Simplify right side
    8,276.10x = 101,668,164.26
  5. Step 5: Solve for x
    x = 101,668,164.26/8,276.10
  6. Step 6: Final answer
    x = 12,284.55

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Double scale
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Similar ratio
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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.