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Finding the Fourth Proportional to 12,270.78, 18,409.11 and 3,951.57

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Solution

The fourth proportional to 12,270.78, 18,409.11 and 3,951.57 is: 5,928.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,270.78 : 18,409.11 = 3,951.57 : x
  2. Step 2: Convert to fraction form
    12,270.78/18,409.11 = 3,951.57/x
  3. Step 3: Cross multiply
    12,270.78x = 18,409.11 × 3,951.57
  4. Step 4: Simplify right side
    12,270.78x = 72,744,886.80
  5. Step 5: Solve for x
    x = 72,744,886.80/12,270.78
  6. Step 6: Final answer
    x = 5,928.30

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1.5x scale

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.