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Finding the Fourth Proportional to 7,067.52, 9,753.03 and 3,923.64

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Solution

The fourth proportional to 7,067.52, 9,753.03 and 3,923.64 is: 5,414.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,067.52 : 9,753.03 = 3,923.64 : x
  2. Step 2: Convert to fraction form
    7,067.52/9,753.03 = 3,923.64/x
  3. Step 3: Cross multiply
    7,067.52x = 9,753.03 × 3,923.64
  4. Step 4: Simplify right side
    7,067.52x = 38,267,378.63
  5. Step 5: Solve for x
    x = 38,267,378.63/7,067.52
  6. Step 6: Final answer
    x = 5,414.54

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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.