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Finding the Fourth Proportional to 6,945.38, 9,584.62 and 3,801.56

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Solution

The fourth proportional to 6,945.38, 9,584.62 and 3,801.56 is: 5,246.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,945.38 : 9,584.62 = 3,801.56 : x
  2. Step 2: Convert to fraction form
    6,945.38/9,584.62 = 3,801.56/x
  3. Step 3: Cross multiply
    6,945.38x = 9,584.62 × 3,801.56
  4. Step 4: Simplify right side
    6,945.38x = 36,436,508.01
  5. Step 5: Solve for x
    x = 36,436,508.01/6,945.38
  6. Step 6: Final answer
    x = 5,246.15

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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.