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Finding the Fourth Proportional to 12,593.68, 18,886.19 and 5,194.33

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Solution

The fourth proportional to 12,593.68, 18,886.19 and 5,194.33 is: 7,789.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,593.68 : 18,886.19 = 5,194.33 : x
  2. Step 2: Convert to fraction form
    12,593.68/18,886.19 = 5,194.33/x
  3. Step 3: Cross multiply
    12,593.68x = 18,886.19 × 5,194.33
  4. Step 4: Simplify right side
    12,593.68x = 98,101,044.72
  5. Step 5: Solve for x
    x = 98,101,044.72/12,593.68
  6. Step 6: Final answer
    x = 7,789.71

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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.