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Finding the Fourth Proportional to 6,798.14, 10,175.32 and 3,506.70

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Solution

The fourth proportional to 6,798.14, 10,175.32 and 3,506.70 is: 5,248.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,798.14 : 10,175.32 = 3,506.70 : x
  2. Step 2: Convert to fraction form
    6,798.14/10,175.32 = 3,506.70/x
  3. Step 3: Cross multiply
    6,798.14x = 10,175.32 × 3,506.70
  4. Step 4: Simplify right side
    6,798.14x = 35,681,794.64
  5. Step 5: Solve for x
    x = 35,681,794.64/6,798.14
  6. Step 6: Final answer
    x = 5,248.76

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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.