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Finding the Fourth Proportional to 11,996.60, 16,551.06 and 8,020.22

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Solution

The fourth proportional to 11,996.60, 16,551.06 and 8,020.22 is: 11,065.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,996.60 : 16,551.06 = 8,020.22 : x
  2. Step 2: Convert to fraction form
    11,996.60/16,551.06 = 8,020.22/x
  3. Step 3: Cross multiply
    11,996.60x = 16,551.06 × 8,020.22
  4. Step 4: Simplify right side
    11,996.60x = 132,743,142.43
  5. Step 5: Solve for x
    x = 132,743,142.43/11,996.60
  6. Step 6: Final answer
    x = 11,065.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.