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Finding the Fourth Proportional to 7,067.16, 9,752.86 and 3,923.40

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Solution

The fourth proportional to 7,067.16, 9,752.86 and 3,923.40 is: 5,414.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,067.16 : 9,752.86 = 3,923.40 : x
  2. Step 2: Convert to fraction form
    7,067.16/9,752.86 = 3,923.40/x
  3. Step 3: Cross multiply
    7,067.16x = 9,752.86 × 3,923.40
  4. Step 4: Simplify right side
    7,067.16x = 38,264,370.92
  5. Step 5: Solve for x
    x = 38,264,370.92/7,067.16
  6. Step 6: Final answer
    x = 5,414.39

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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.