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Finding the Fourth Proportional to 7,067.97, 9,754.07 and 3,881.40

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Solution

The fourth proportional to 7,067.97, 9,754.07 and 3,881.40 is: 5,356.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,067.97 : 9,754.07 = 3,881.40 : x
  2. Step 2: Convert to fraction form
    7,067.97/9,754.07 = 3,881.40/x
  3. Step 3: Cross multiply
    7,067.97x = 9,754.07 × 3,881.40
  4. Step 4: Simplify right side
    7,067.97x = 37,859,427.89
  5. Step 5: Solve for x
    x = 37,859,427.89/7,067.97
  6. Step 6: Final answer
    x = 5,356.48

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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.