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Finding the Fourth Proportional to 8,006.84, 12,001.91 and 4,491.71

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Solution

The fourth proportional to 8,006.84, 12,001.91 and 4,491.71 is: 6,732.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,006.84 : 12,001.91 = 4,491.71 : x
  2. Step 2: Convert to fraction form
    8,006.84/12,001.91 = 4,491.71/x
  3. Step 3: Cross multiply
    8,006.84x = 12,001.91 × 4,491.71
  4. Step 4: Simplify right side
    8,006.84x = 53,909,016.70
  5. Step 5: Solve for x
    x = 53,909,016.70/8,006.84
  6. Step 6: Final answer
    x = 6,732.87

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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.