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Finding the Fourth Proportional to 11,896.97, 17,825.98 and 7,202.75

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Solution

The fourth proportional to 11,896.97, 17,825.98 and 7,202.75 is: 10,792.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896.97 : 17,825.98 = 7,202.75 : x
  2. Step 2: Convert to fraction form
    11,896.97/17,825.98 = 7,202.75/x
  3. Step 3: Cross multiply
    11,896.97x = 17,825.98 × 7,202.75
  4. Step 4: Simplify right side
    11,896.97x = 128,396,032.88
  5. Step 5: Solve for x
    x = 128,396,032.88/11,896.97
  6. Step 6: Final answer
    x = 10,792.34

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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.