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Finding the Fourth Proportional to 12,229.79, 16,876.13 and 7,194.20

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Solution

The fourth proportional to 12,229.79, 16,876.13 and 7,194.20 is: 9,927.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,229.79 : 16,876.13 = 7,194.20 : x
  2. Step 2: Convert to fraction form
    12,229.79/16,876.13 = 7,194.20/x
  3. Step 3: Cross multiply
    12,229.79x = 16,876.13 × 7,194.20
  4. Step 4: Simplify right side
    12,229.79x = 121,410,134.09
  5. Step 5: Solve for x
    x = 121,410,134.09/12,229.79
  6. Step 6: Final answer
    x = 9,927.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.