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Finding the Fourth Proportional to 6,839.54, 9,438.57 and 3,695.73

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Solution

The fourth proportional to 6,839.54, 9,438.57 and 3,695.73 is: 5,100.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,839.54 : 9,438.57 = 3,695.73 : x
  2. Step 2: Convert to fraction form
    6,839.54/9,438.57 = 3,695.73/x
  3. Step 3: Cross multiply
    6,839.54x = 9,438.57 × 3,695.73
  4. Step 4: Simplify right side
    6,839.54x = 34,882,406.31
  5. Step 5: Solve for x
    x = 34,882,406.31/6,839.54
  6. Step 6: Final answer
    x = 5,100.11

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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.