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Finding the Fourth Proportional to 6,926.09, 10,392.71 and 3,227.22

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Solution

The fourth proportional to 6,926.09, 10,392.71 and 3,227.22 is: 4,842.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,926.09 : 10,392.71 = 3,227.22 : x
  2. Step 2: Convert to fraction form
    6,926.09/10,392.71 = 3,227.22/x
  3. Step 3: Cross multiply
    6,926.09x = 10,392.71 × 3,227.22
  4. Step 4: Simplify right side
    6,926.09x = 33,539,545.43
  5. Step 5: Solve for x
    x = 33,539,545.43/6,926.09
  6. Step 6: Final answer
    x = 4,842.50

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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.