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Finding the Fourth Proportional to 22,396, 33,594 and 5,980

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Solution

The fourth proportional to 22,396, 33,594 and 5,980 is: 8,970

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,396 : 33,594 = 5,980 : x
  2. Step 2: Convert to fraction form
    22,396/33,594 = 5,980/x
  3. Step 3: Cross multiply
    22,396x = 33,594 × 5,980
  4. Step 4: Simplify right side
    22,396x = 200,892,120
  5. Step 5: Solve for x
    x = 200,892,120/22,396
  6. Step 6: Final answer
    x = 8,970

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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.