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Finding the Fourth Proportional to 10,268.94, 14,164.62 and 6,732.38

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Solution

The fourth proportional to 10,268.94, 14,164.62 and 6,732.38 is: 9,286.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,268.94 : 14,164.62 = 6,732.38 : x
  2. Step 2: Convert to fraction form
    10,268.94/14,164.62 = 6,732.38/x
  3. Step 3: Cross multiply
    10,268.94x = 14,164.62 × 6,732.38
  4. Step 4: Simplify right side
    10,268.94x = 95,361,570.73
  5. Step 5: Solve for x
    x = 95,361,570.73/10,268.94
  6. Step 6: Final answer
    x = 9,286.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.