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Finding the Fourth Proportional to 22,183.84, 33,282.08 and 7,402.44

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Solution

The fourth proportional to 22,183.84, 33,282.08 and 7,402.44 is: 11,105.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,183.84 : 33,282.08 = 7,402.44 : x
  2. Step 2: Convert to fraction form
    22,183.84/33,282.08 = 7,402.44/x
  3. Step 3: Cross multiply
    22,183.84x = 33,282.08 × 7,402.44
  4. Step 4: Simplify right side
    22,183.84x = 246,368,600.28
  5. Step 5: Solve for x
    x = 246,368,600.28/22,183.84
  6. Step 6: Final answer
    x = 11,105.77

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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.