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Finding the Fourth Proportional to 7,067.23, 9,753.29 and 3,923.40

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Solution

The fourth proportional to 7,067.23, 9,753.29 and 3,923.40 is: 5,414.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,067.23 : 9,753.29 = 3,923.40 : x
  2. Step 2: Convert to fraction form
    7,067.23/9,753.29 = 3,923.40/x
  3. Step 3: Cross multiply
    7,067.23x = 9,753.29 × 3,923.40
  4. Step 4: Simplify right side
    7,067.23x = 38,265,989.60
  5. Step 5: Solve for x
    x = 38,265,989.60/7,067.23
  6. Step 6: Final answer
    x = 5,414.57

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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.