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Finding the Fourth Proportional to 6,174.33, 9,255.31 and 3,984.58

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Solution

The fourth proportional to 6,174.33, 9,255.31 and 3,984.58 is: 5,972.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,174.33 : 9,255.31 = 3,984.58 : x
  2. Step 2: Convert to fraction form
    6,174.33/9,255.31 = 3,984.58/x
  3. Step 3: Cross multiply
    6,174.33x = 9,255.31 × 3,984.58
  4. Step 4: Simplify right side
    6,174.33x = 36,878,523.12
  5. Step 5: Solve for x
    x = 36,878,523.12/6,174.33
  6. Step 6: Final answer
    x = 5,972.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.