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Finding the Fourth Proportional to 6,511.59, 9,767.39 and 2,351.58

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Solution

The fourth proportional to 6,511.59, 9,767.39 and 2,351.58 is: 3,527.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511.59 : 9,767.39 = 2,351.58 : x
  2. Step 2: Convert to fraction form
    6,511.59/9,767.39 = 2,351.58/x
  3. Step 3: Cross multiply
    6,511.59x = 9,767.39 × 2,351.58
  4. Step 4: Simplify right side
    6,511.59x = 22,968,805.53
  5. Step 5: Solve for x
    x = 22,968,805.53/6,511.59
  6. Step 6: Final answer
    x = 3,527.37

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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.