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Finding the Fourth Proportional to 8,001.60, 11,974.05 and 6,972.90

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Solution

The fourth proportional to 8,001.60, 11,974.05 and 6,972.90 is: 10,434.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,001.60 : 11,974.05 = 6,972.90 : x
  2. Step 2: Convert to fraction form
    8,001.60/11,974.05 = 6,972.90/x
  3. Step 3: Cross multiply
    8,001.60x = 11,974.05 × 6,972.90
  4. Step 4: Simplify right side
    8,001.60x = 83,493,853.25
  5. Step 5: Solve for x
    x = 83,493,853.25/8,001.60
  6. Step 6: Final answer
    x = 10,434.64

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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.