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Finding the Fourth Proportional to 6,924.82, 10,424.64 and 6,322.18

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Solution

The fourth proportional to 6,924.82, 10,424.64 and 6,322.18 is: 9,517.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,924.82 : 10,424.64 = 6,322.18 : x
  2. Step 2: Convert to fraction form
    6,924.82/10,424.64 = 6,322.18/x
  3. Step 3: Cross multiply
    6,924.82x = 10,424.64 × 6,322.18
  4. Step 4: Simplify right side
    6,924.82x = 65,906,450.52
  5. Step 5: Solve for x
    x = 65,906,450.52/6,924.82
  6. Step 6: Final answer
    x = 9,517.42

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