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Finding the Fourth Proportional to 6,934, 9,568.74 and 4,101.52

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Solution

The fourth proportional to 6,934, 9,568.74 and 4,101.52 is: 5,659.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,934 : 9,568.74 = 4,101.52 : x
  2. Step 2: Convert to fraction form
    6,934/9,568.74 = 4,101.52/x
  3. Step 3: Cross multiply
    6,934x = 9,568.74 × 4,101.52
  4. Step 4: Simplify right side
    6,934x = 39,246,378.48
  5. Step 5: Solve for x
    x = 39,246,378.48/6,934
  6. Step 6: Final answer
    x = 5,659.99

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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.