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Finding the Fourth Proportional to 7,067, 9,752.46 and 3,923.48

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Solution

The fourth proportional to 7,067, 9,752.46 and 3,923.48 is: 5,414.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,067 : 9,752.46 = 3,923.48 : x
  2. Step 2: Convert to fraction form
    7,067/9,752.46 = 3,923.48/x
  3. Step 3: Cross multiply
    7,067x = 9,752.46 × 3,923.48
  4. Step 4: Simplify right side
    7,067x = 38,263,581.76
  5. Step 5: Solve for x
    x = 38,263,581.76/7,067
  6. Step 6: Final answer
    x = 5,414.40

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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.