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Finding the Fourth Proportional to 6,711.36, 10,067.27 and 1,781.50

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Solution

The fourth proportional to 6,711.36, 10,067.27 and 1,781.50 is: 2,672.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711.36 : 10,067.27 = 1,781.50 : x
  2. Step 2: Convert to fraction form
    6,711.36/10,067.27 = 1,781.50/x
  3. Step 3: Cross multiply
    6,711.36x = 10,067.27 × 1,781.50
  4. Step 4: Simplify right side
    6,711.36x = 17,934,841.51
  5. Step 5: Solve for x
    x = 17,934,841.51/6,711.36
  6. Step 6: Final answer
    x = 2,672.31

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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.