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Finding the Fourth Proportional to 22,651.83, 33,982.67 and 6,856.56

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Solution

The fourth proportional to 22,651.83, 33,982.67 and 6,856.56 is: 10,286.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,651.83 : 33,982.67 = 6,856.56 : x
  2. Step 2: Convert to fraction form
    22,651.83/33,982.67 = 6,856.56/x
  3. Step 3: Cross multiply
    22,651.83x = 33,982.67 × 6,856.56
  4. Step 4: Simplify right side
    22,651.83x = 233,004,232.96
  5. Step 5: Solve for x
    x = 233,004,232.96/22,651.83
  6. Step 6: Final answer
    x = 10,286.33

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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.