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Finding the Fourth Proportional to 9,067.36, 13,648.84 and 7,731.04

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Solution

The fourth proportional to 9,067.36, 13,648.84 and 7,731.04 is: 11,637.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,067.36 : 13,648.84 = 7,731.04 : x
  2. Step 2: Convert to fraction form
    9,067.36/13,648.84 = 7,731.04/x
  3. Step 3: Cross multiply
    9,067.36x = 13,648.84 × 7,731.04
  4. Step 4: Simplify right side
    9,067.36x = 105,519,727.99
  5. Step 5: Solve for x
    x = 105,519,727.99/9,067.36
  6. Step 6: Final answer
    x = 11,637.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.