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Finding the Fourth Proportional to 17,100, 25,650 and 6,156

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Solution

The fourth proportional to 17,100, 25,650 and 6,156 is: 9,234

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,100 : 25,650 = 6,156 : x
  2. Step 2: Convert to fraction form
    17,100/25,650 = 6,156/x
  3. Step 3: Cross multiply
    17,100x = 25,650 × 6,156
  4. Step 4: Simplify right side
    17,100x = 157,901,400
  5. Step 5: Solve for x
    x = 157,901,400/17,100
  6. Step 6: Final answer
    x = 9,234

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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.