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Finding the Fourth Proportional to 17,201.75, 23,738.78 and 9,749.75

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Solution

The fourth proportional to 17,201.75, 23,738.78 and 9,749.75 is: 13,454.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,201.75 : 23,738.78 = 9,749.75 : x
  2. Step 2: Convert to fraction form
    17,201.75/23,738.78 = 9,749.75/x
  3. Step 3: Cross multiply
    17,201.75x = 23,738.78 × 9,749.75
  4. Step 4: Simplify right side
    17,201.75x = 231,447,170.31
  5. Step 5: Solve for x
    x = 231,447,170.31/17,201.75
  6. Step 6: Final answer
    x = 13,454.86

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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.