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Finding the Fourth Proportional to 22,780, 34,170 and 6,364

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Solution

The fourth proportional to 22,780, 34,170 and 6,364 is: 9,546

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,780 : 34,170 = 6,364 : x
  2. Step 2: Convert to fraction form
    22,780/34,170 = 6,364/x
  3. Step 3: Cross multiply
    22,780x = 34,170 × 6,364
  4. Step 4: Simplify right side
    22,780x = 217,457,880
  5. Step 5: Solve for x
    x = 217,457,880/22,780
  6. Step 6: Final answer
    x = 9,546

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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.