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Finding the Fourth Proportional to 12,300, 18,450 and 4,092

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Solution

The fourth proportional to 12,300, 18,450 and 4,092 is: 6,138

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,300 : 18,450 = 4,092 : x
  2. Step 2: Convert to fraction form
    12,300/18,450 = 4,092/x
  3. Step 3: Cross multiply
    12,300x = 18,450 × 4,092
  4. Step 4: Simplify right side
    12,300x = 75,497,400
  5. Step 5: Solve for x
    x = 75,497,400/12,300
  6. Step 6: Final answer
    x = 6,138

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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.