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Finding the Fourth Proportional to 6,781.46, 9,349.22 and 5,797.31

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Solution

The fourth proportional to 6,781.46, 9,349.22 and 5,797.31 is: 7,992.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,781.46 : 9,349.22 = 5,797.31 : x
  2. Step 2: Convert to fraction form
    6,781.46/9,349.22 = 5,797.31/x
  3. Step 3: Cross multiply
    6,781.46x = 9,349.22 × 5,797.31
  4. Step 4: Simplify right side
    6,781.46x = 54,200,294.35
  5. Step 5: Solve for x
    x = 54,200,294.35/6,781.46
  6. Step 6: Final answer
    x = 7,992.43

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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.