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Finding the Fourth Proportional to 6,878.49, 10,317.77 and 1,684.37

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Solution

The fourth proportional to 6,878.49, 10,317.77 and 1,684.37 is: 2,526.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,878.49 : 10,317.77 = 1,684.37 : x
  2. Step 2: Convert to fraction form
    6,878.49/10,317.77 = 1,684.37/x
  3. Step 3: Cross multiply
    6,878.49x = 10,317.77 × 1,684.37
  4. Step 4: Simplify right side
    6,878.49x = 17,378,882.24
  5. Step 5: Solve for x
    x = 17,378,882.24/6,878.49
  6. Step 6: Final answer
    x = 2,526.55

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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.