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Finding the Fourth Proportional to 10,125.75, 13,974.89 and 5,934

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Solution

The fourth proportional to 10,125.75, 13,974.89 and 5,934 is: 8,189.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,125.75 : 13,974.89 = 5,934 : x
  2. Step 2: Convert to fraction form
    10,125.75/13,974.89 = 5,934/x
  3. Step 3: Cross multiply
    10,125.75x = 13,974.89 × 5,934
  4. Step 4: Simplify right side
    10,125.75x = 82,926,967.59
  5. Step 5: Solve for x
    x = 82,926,967.59/10,125.75
  6. Step 6: Final answer
    x = 8,189.71

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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.