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Finding the Fourth Proportional to 4,067.01, 6,100.93 and 1,105.50

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Solution

The fourth proportional to 4,067.01, 6,100.93 and 1,105.50 is: 1,658.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,067.01 : 6,100.93 = 1,105.50 : x
  2. Step 2: Convert to fraction form
    4,067.01/6,100.93 = 1,105.50/x
  3. Step 3: Cross multiply
    4,067.01x = 6,100.93 × 1,105.50
  4. Step 4: Simplify right side
    4,067.01x = 6,744,578.12
  5. Step 5: Solve for x
    x = 6,744,578.12/4,067.01
  6. Step 6: Final answer
    x = 1,658.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.