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Finding the Fourth Proportional to 12,129.50, 18,194.26 and 3,921.50

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Solution

The fourth proportional to 12,129.50, 18,194.26 and 3,921.50 is: 5,882.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,129.50 : 18,194.26 = 3,921.50 : x
  2. Step 2: Convert to fraction form
    12,129.50/18,194.26 = 3,921.50/x
  3. Step 3: Cross multiply
    12,129.50x = 18,194.26 × 3,921.50
  4. Step 4: Simplify right side
    12,129.50x = 71,348,790.59
  5. Step 5: Solve for x
    x = 71,348,790.59/12,129.50
  6. Step 6: Final answer
    x = 5,882.25

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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.