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Finding the Fourth Proportional to 11,991.40, 17,981.70 and 5,414.20

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Solution

The fourth proportional to 11,991.40, 17,981.70 and 5,414.20 is: 8,118.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,991.40 : 17,981.70 = 5,414.20 : x
  2. Step 2: Convert to fraction form
    11,991.40/17,981.70 = 5,414.20/x
  3. Step 3: Cross multiply
    11,991.40x = 17,981.70 × 5,414.20
  4. Step 4: Simplify right side
    11,991.40x = 97,356,520.14
  5. Step 5: Solve for x
    x = 97,356,520.14/11,991.40
  6. Step 6: Final answer
    x = 8,118.86

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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.