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Finding the Fourth Proportional to 23,100, 34,650 and 6,684

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Solution

The fourth proportional to 23,100, 34,650 and 6,684 is: 10,026

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,100 : 34,650 = 6,684 : x
  2. Step 2: Convert to fraction form
    23,100/34,650 = 6,684/x
  3. Step 3: Cross multiply
    23,100x = 34,650 × 6,684
  4. Step 4: Simplify right side
    23,100x = 231,600,600
  5. Step 5: Solve for x
    x = 231,600,600/23,100
  6. Step 6: Final answer
    x = 10,026

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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.