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Finding the Fourth Proportional to 23,921.60, 35,883.87 and 7,282.87

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Solution

The fourth proportional to 23,921.60, 35,883.87 and 7,282.87 is: 10,924.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,921.60 : 35,883.87 = 7,282.87 : x
  2. Step 2: Convert to fraction form
    23,921.60/35,883.87 = 7,282.87/x
  3. Step 3: Cross multiply
    23,921.60x = 35,883.87 × 7,282.87
  4. Step 4: Simplify right side
    23,921.60x = 261,337,470.60
  5. Step 5: Solve for x
    x = 261,337,470.60/23,921.60
  6. Step 6: Final answer
    x = 10,924.75

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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.