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Finding the Fourth Proportional to 12,094.44, 16,757.54 and 11,832

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Solution

The fourth proportional to 12,094.44, 16,757.54 and 11,832 is: 16,393.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,094.44 : 16,757.54 = 11,832 : x
  2. Step 2: Convert to fraction form
    12,094.44/16,757.54 = 11,832/x
  3. Step 3: Cross multiply
    12,094.44x = 16,757.54 × 11,832
  4. Step 4: Simplify right side
    12,094.44x = 198,275,213.28
  5. Step 5: Solve for x
    x = 198,275,213.28/12,094.44
  6. Step 6: Final answer
    x = 16,393.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.