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Finding the Fourth Proportional to 4,768.30, 6,582.31 and 4,469.41

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Solution

The fourth proportional to 4,768.30, 6,582.31 and 4,469.41 is: 6,169.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.30 : 6,582.31 = 4,469.41 : x
  2. Step 2: Convert to fraction form
    4,768.30/6,582.31 = 4,469.41/x
  3. Step 3: Cross multiply
    4,768.30x = 6,582.31 × 4,469.41
  4. Step 4: Simplify right side
    4,768.30x = 29,419,064.33
  5. Step 5: Solve for x
    x = 29,419,064.33/4,768.30
  6. Step 6: Final answer
    x = 6,169.72

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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.