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Finding the Fourth Proportional to 22,702, 34,053 and 6,286

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Solution

The fourth proportional to 22,702, 34,053 and 6,286 is: 9,429

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,702 : 34,053 = 6,286 : x
  2. Step 2: Convert to fraction form
    22,702/34,053 = 6,286/x
  3. Step 3: Cross multiply
    22,702x = 34,053 × 6,286
  4. Step 4: Simplify right side
    22,702x = 214,057,158
  5. Step 5: Solve for x
    x = 214,057,158/22,702
  6. Step 6: Final answer
    x = 9,429

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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.