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Finding the Fourth Proportional to 23,920.82, 35,883.07 and 7,282.28

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Solution

The fourth proportional to 23,920.82, 35,883.07 and 7,282.28 is: 10,923.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,920.82 : 35,883.07 = 7,282.28 : x
  2. Step 2: Convert to fraction form
    23,920.82/35,883.07 = 7,282.28/x
  3. Step 3: Cross multiply
    23,920.82x = 35,883.07 × 7,282.28
  4. Step 4: Simplify right side
    23,920.82x = 261,310,365.38
  5. Step 5: Solve for x
    x = 261,310,365.38/23,920.82
  6. Step 6: Final answer
    x = 10,923.97

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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.