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Finding the Fourth Proportional to 22,610.82, 33,924.33 and 7,821.21

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Solution

The fourth proportional to 22,610.82, 33,924.33 and 7,821.21 is: 11,734.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,610.82 : 33,924.33 = 7,821.21 : x
  2. Step 2: Convert to fraction form
    22,610.82/33,924.33 = 7,821.21/x
  3. Step 3: Cross multiply
    22,610.82x = 33,924.33 × 7,821.21
  4. Step 4: Simplify right side
    22,610.82x = 265,329,309.04
  5. Step 5: Solve for x
    x = 265,329,309.04/22,610.82
  6. Step 6: Final answer
    x = 11,734.62

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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.