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Finding the Fourth Proportional to 5,047.97, 6,961.17 and 3,369.44

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Solution

The fourth proportional to 5,047.97, 6,961.17 and 3,369.44 is: 4,646.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047.97 : 6,961.17 = 3,369.44 : x
  2. Step 2: Convert to fraction form
    5,047.97/6,961.17 = 3,369.44/x
  3. Step 3: Cross multiply
    5,047.97x = 6,961.17 × 3,369.44
  4. Step 4: Simplify right side
    5,047.97x = 23,455,274.68
  5. Step 5: Solve for x
    x = 23,455,274.68/5,047.97
  6. Step 6: Final answer
    x = 4,646.48

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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.