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Finding the Fourth Proportional to 11,887.97, 17,824.73 and 8,186.09

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Solution

The fourth proportional to 11,887.97, 17,824.73 and 8,186.09 is: 12,274.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,887.97 : 17,824.73 = 8,186.09 : x
  2. Step 2: Convert to fraction form
    11,887.97/17,824.73 = 8,186.09/x
  3. Step 3: Cross multiply
    11,887.97x = 17,824.73 × 8,186.09
  4. Step 4: Simplify right side
    11,887.97x = 145,914,713.95
  5. Step 5: Solve for x
    x = 145,914,713.95/11,887.97
  6. Step 6: Final answer
    x = 12,274.15

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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.