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Finding the Fourth Proportional to 22,405.60, 33,608.39 and 6,823.22

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Solution

The fourth proportional to 22,405.60, 33,608.39 and 6,823.22 is: 10,234.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,405.60 : 33,608.39 = 6,823.22 : x
  2. Step 2: Convert to fraction form
    22,405.60/33,608.39 = 6,823.22/x
  3. Step 3: Cross multiply
    22,405.60x = 33,608.39 × 6,823.22
  4. Step 4: Simplify right side
    22,405.60x = 229,317,438.82
  5. Step 5: Solve for x
    x = 229,317,438.82/22,405.60
  6. Step 6: Final answer
    x = 10,234.83

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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.