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Finding the Fourth Proportional to 6,394.24, 9,601.44 and 3,769.84

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Solution

The fourth proportional to 6,394.24, 9,601.44 and 3,769.84 is: 5,660.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,394.24 : 9,601.44 = 3,769.84 : x
  2. Step 2: Convert to fraction form
    6,394.24/9,601.44 = 3,769.84/x
  3. Step 3: Cross multiply
    6,394.24x = 9,601.44 × 3,769.84
  4. Step 4: Simplify right side
    6,394.24x = 36,195,892.57
  5. Step 5: Solve for x
    x = 36,195,892.57/6,394.24
  6. Step 6: Final answer
    x = 5,660.70

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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.