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Finding the Fourth Proportional to 22,379, 33,568.62 and 5,963

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Solution

The fourth proportional to 22,379, 33,568.62 and 5,963 is: 8,944.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,379 : 33,568.62 = 5,963 : x
  2. Step 2: Convert to fraction form
    22,379/33,568.62 = 5,963/x
  3. Step 3: Cross multiply
    22,379x = 33,568.62 × 5,963
  4. Step 4: Simplify right side
    22,379x = 200,169,681.06
  5. Step 5: Solve for x
    x = 200,169,681.06/22,379
  6. Step 6: Final answer
    x = 8,944.53

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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.