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Finding the Fourth Proportional to 6,454.04, 9,682.66 and 1,837

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Solution

The fourth proportional to 6,454.04, 9,682.66 and 1,837 is: 2,755.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,454.04 : 9,682.66 = 1,837 : x
  2. Step 2: Convert to fraction form
    6,454.04/9,682.66 = 1,837/x
  3. Step 3: Cross multiply
    6,454.04x = 9,682.66 × 1,837
  4. Step 4: Simplify right side
    6,454.04x = 17,787,046.42
  5. Step 5: Solve for x
    x = 17,787,046.42/6,454.04
  6. Step 6: Final answer
    x = 2,755.96

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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.