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Finding the Fourth Proportional to 6,400.20, 8,836.02 and 4,306.44

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Solution

The fourth proportional to 6,400.20, 8,836.02 and 4,306.44 is: 5,945.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.20 : 8,836.02 = 4,306.44 : x
  2. Step 2: Convert to fraction form
    6,400.20/8,836.02 = 4,306.44/x
  3. Step 3: Cross multiply
    6,400.20x = 8,836.02 × 4,306.44
  4. Step 4: Simplify right side
    6,400.20x = 38,051,789.97
  5. Step 5: Solve for x
    x = 38,051,789.97/6,400.20
  6. Step 6: Final answer
    x = 5,945.41

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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.