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Finding the Fourth Proportional to 6,794.35, 10,194.63 and 3,097.65

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Solution

The fourth proportional to 6,794.35, 10,194.63 and 3,097.65 is: 4,647.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,794.35 : 10,194.63 = 3,097.65 : x
  2. Step 2: Convert to fraction form
    6,794.35/10,194.63 = 3,097.65/x
  3. Step 3: Cross multiply
    6,794.35x = 10,194.63 × 3,097.65
  4. Step 4: Simplify right side
    6,794.35x = 31,579,395.62
  5. Step 5: Solve for x
    x = 31,579,395.62/6,794.35
  6. Step 6: Final answer
    x = 4,647.89

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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.