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Finding the Fourth Proportional to 6,463.26, 9,698.20 and 2,768.58

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Solution

The fourth proportional to 6,463.26, 9,698.20 and 2,768.58 is: 4,154.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,463.26 : 9,698.20 = 2,768.58 : x
  2. Step 2: Convert to fraction form
    6,463.26/9,698.20 = 2,768.58/x
  3. Step 3: Cross multiply
    6,463.26x = 9,698.20 × 2,768.58
  4. Step 4: Simplify right side
    6,463.26x = 26,850,235.63
  5. Step 5: Solve for x
    x = 26,850,235.63/6,463.26
  6. Step 6: Final answer
    x = 4,154.29

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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.