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Finding the Fourth Proportional to 8,007.96, 12,011.49 and 2,164.14

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Solution

The fourth proportional to 8,007.96, 12,011.49 and 2,164.14 is: 3,246.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,007.96 : 12,011.49 = 2,164.14 : x
  2. Step 2: Convert to fraction form
    8,007.96/12,011.49 = 2,164.14/x
  3. Step 3: Cross multiply
    8,007.96x = 12,011.49 × 2,164.14
  4. Step 4: Simplify right side
    8,007.96x = 25,994,545.97
  5. Step 5: Solve for x
    x = 25,994,545.97/8,007.96
  6. Step 6: Final answer
    x = 3,246.09

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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.