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Finding the Fourth Proportional to 11,996.92, 17,997.54 and 5,751.64

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Solution

The fourth proportional to 11,996.92, 17,997.54 and 5,751.64 is: 8,628.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,996.92 : 17,997.54 = 5,751.64 : x
  2. Step 2: Convert to fraction form
    11,996.92/17,997.54 = 5,751.64/x
  3. Step 3: Cross multiply
    11,996.92x = 17,997.54 × 5,751.64
  4. Step 4: Simplify right side
    11,996.92x = 103,515,370.97
  5. Step 5: Solve for x
    x = 103,515,370.97/11,996.92
  6. Step 6: Final answer
    x = 8,628.50

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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.