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Finding the Fourth Proportional to 6,804.62, 10,207 and 2,422.26

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Solution

The fourth proportional to 6,804.62, 10,207 and 2,422.26 is: 3,633.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,804.62 : 10,207 = 2,422.26 : x
  2. Step 2: Convert to fraction form
    6,804.62/10,207 = 2,422.26/x
  3. Step 3: Cross multiply
    6,804.62x = 10,207 × 2,422.26
  4. Step 4: Simplify right side
    6,804.62x = 24,724,007.82
  5. Step 5: Solve for x
    x = 24,724,007.82/6,804.62
  6. Step 6: Final answer
    x = 3,633.41

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