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Finding the Fourth Proportional to 6,784.73, 10,174.69 and 3,226.43

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Solution

The fourth proportional to 6,784.73, 10,174.69 and 3,226.43 is: 4,838.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,784.73 : 10,174.69 = 3,226.43 : x
  2. Step 2: Convert to fraction form
    6,784.73/10,174.69 = 3,226.43/x
  3. Step 3: Cross multiply
    6,784.73x = 10,174.69 × 3,226.43
  4. Step 4: Simplify right side
    6,784.73x = 32,827,866.12
  5. Step 5: Solve for x
    x = 32,827,866.12/6,784.73
  6. Step 6: Final answer
    x = 4,838.50

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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.