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Finding the Fourth Proportional to 6,741, 10,098.73 and 3,821.35

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Solution

The fourth proportional to 6,741, 10,098.73 and 3,821.35 is: 5,724.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,741 : 10,098.73 = 3,821.35 : x
  2. Step 2: Convert to fraction form
    6,741/10,098.73 = 3,821.35/x
  3. Step 3: Cross multiply
    6,741x = 10,098.73 × 3,821.35
  4. Step 4: Simplify right side
    6,741x = 38,590,781.89
  5. Step 5: Solve for x
    x = 38,590,781.89/6,741
  6. Step 6: Final answer
    x = 5,724.79

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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.