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Finding the Fourth Proportional to 5,546.38, 7,654 and 3,062.38

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Solution

The fourth proportional to 5,546.38, 7,654 and 3,062.38 is: 4,226.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,546.38 : 7,654 = 3,062.38 : x
  2. Step 2: Convert to fraction form
    5,546.38/7,654 = 3,062.38/x
  3. Step 3: Cross multiply
    5,546.38x = 7,654 × 3,062.38
  4. Step 4: Simplify right side
    5,546.38x = 23,439,456.52
  5. Step 5: Solve for x
    x = 23,439,456.52/5,546.38
  6. Step 6: Final answer
    x = 4,226.08

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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.