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Finding the Fourth Proportional to 10,193.67, 14,067.33 and 5,947.68

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Solution

The fourth proportional to 10,193.67, 14,067.33 and 5,947.68 is: 8,207.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,193.67 : 14,067.33 = 5,947.68 : x
  2. Step 2: Convert to fraction form
    10,193.67/14,067.33 = 5,947.68/x
  3. Step 3: Cross multiply
    10,193.67x = 14,067.33 × 5,947.68
  4. Step 4: Simplify right side
    10,193.67x = 83,667,977.29
  5. Step 5: Solve for x
    x = 83,667,977.29/10,193.67
  6. Step 6: Final answer
    x = 8,207.84

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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.