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Finding the Fourth Proportional to 23,785.97, 35,683.08 and 7,992.54

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Solution

The fourth proportional to 23,785.97, 35,683.08 and 7,992.54 is: 11,990.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,785.97 : 35,683.08 = 7,992.54 : x
  2. Step 2: Convert to fraction form
    23,785.97/35,683.08 = 7,992.54/x
  3. Step 3: Cross multiply
    23,785.97x = 35,683.08 × 7,992.54
  4. Step 4: Simplify right side
    23,785.97x = 285,198,404.26
  5. Step 5: Solve for x
    x = 285,198,404.26/23,785.97
  6. Step 6: Final answer
    x = 11,990.20

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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.