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Finding the Fourth Proportional to 6,781.42, 9,358.59 and 3,797.38

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Solution

The fourth proportional to 6,781.42, 9,358.59 and 3,797.38 is: 5,240.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,781.42 : 9,358.59 = 3,797.38 : x
  2. Step 2: Convert to fraction form
    6,781.42/9,358.59 = 3,797.38/x
  3. Step 3: Cross multiply
    6,781.42x = 9,358.59 × 3,797.38
  4. Step 4: Simplify right side
    6,781.42x = 35,538,122.49
  5. Step 5: Solve for x
    x = 35,538,122.49/6,781.42
  6. Step 6: Final answer
    x = 5,240.51

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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.