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Finding the Fourth Proportional to 13,728.97, 18,945.78 and 7,760.44

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Solution

The fourth proportional to 13,728.97, 18,945.78 and 7,760.44 is: 10,709.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,728.97 : 18,945.78 = 7,760.44 : x
  2. Step 2: Convert to fraction form
    13,728.97/18,945.78 = 7,760.44/x
  3. Step 3: Cross multiply
    13,728.97x = 18,945.78 × 7,760.44
  4. Step 4: Simplify right side
    13,728.97x = 147,027,588.94
  5. Step 5: Solve for x
    x = 147,027,588.94/13,728.97
  6. Step 6: Final answer
    x = 10,709.29

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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.