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Finding the Fourth Proportional to 11,932.54, 16,469.05 and 6,896.06

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Solution

The fourth proportional to 11,932.54, 16,469.05 and 6,896.06 is: 9,517.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,932.54 : 16,469.05 = 6,896.06 : x
  2. Step 2: Convert to fraction form
    11,932.54/16,469.05 = 6,896.06/x
  3. Step 3: Cross multiply
    11,932.54x = 16,469.05 × 6,896.06
  4. Step 4: Simplify right side
    11,932.54x = 113,571,556.94
  5. Step 5: Solve for x
    x = 113,571,556.94/11,932.54
  6. Step 6: Final answer
    x = 9,517.80

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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.