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Finding the Fourth Proportional to 6,306.71, 8,704.41 and 3,654.38

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Solution

The fourth proportional to 6,306.71, 8,704.41 and 3,654.38 is: 5,043.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306.71 : 8,704.41 = 3,654.38 : x
  2. Step 2: Convert to fraction form
    6,306.71/8,704.41 = 3,654.38/x
  3. Step 3: Cross multiply
    6,306.71x = 8,704.41 × 3,654.38
  4. Step 4: Simplify right side
    6,306.71x = 31,809,221.82
  5. Step 5: Solve for x
    x = 31,809,221.82/6,306.71
  6. Step 6: Final answer
    x = 5,043.71

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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.