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Finding the Fourth Proportional to 6,974.54, 9,625.08 and 3,830.73

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Solution

The fourth proportional to 6,974.54, 9,625.08 and 3,830.73 is: 5,286.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,974.54 : 9,625.08 = 3,830.73 : x
  2. Step 2: Convert to fraction form
    6,974.54/9,625.08 = 3,830.73/x
  3. Step 3: Cross multiply
    6,974.54x = 9,625.08 × 3,830.73
  4. Step 4: Simplify right side
    6,974.54x = 36,871,082.71
  5. Step 5: Solve for x
    x = 36,871,082.71/6,974.54
  6. Step 6: Final answer
    x = 5,286.53

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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.