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Finding the Fourth Proportional to 22,612, 33,918.96 and 6,196

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Solution

The fourth proportional to 22,612, 33,918.96 and 6,196 is: 9,294.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,612 : 33,918.96 = 6,196 : x
  2. Step 2: Convert to fraction form
    22,612/33,918.96 = 6,196/x
  3. Step 3: Cross multiply
    22,612x = 33,918.96 × 6,196
  4. Step 4: Simplify right side
    22,612x = 210,161,876.16
  5. Step 5: Solve for x
    x = 210,161,876.16/22,612
  6. Step 6: Final answer
    x = 9,294.26

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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.