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Finding the Fourth Proportional to 8,007.62, 12,011.49 and 4,109.90

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Solution

The fourth proportional to 8,007.62, 12,011.49 and 4,109.90 is: 6,164.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,007.62 : 12,011.49 = 4,109.90 : x
  2. Step 2: Convert to fraction form
    8,007.62/12,011.49 = 4,109.90/x
  3. Step 3: Cross multiply
    8,007.62x = 12,011.49 × 4,109.90
  4. Step 4: Simplify right side
    8,007.62x = 49,366,022.75
  5. Step 5: Solve for x
    x = 49,366,022.75/8,007.62
  6. Step 6: Final answer
    x = 6,164.88

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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.