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Finding the Fourth Proportional to 6,814.64, 10,214.23 and 3,069.49

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Solution

The fourth proportional to 6,814.64, 10,214.23 and 3,069.49 is: 4,600.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.64 : 10,214.23 = 3,069.49 : x
  2. Step 2: Convert to fraction form
    6,814.64/10,214.23 = 3,069.49/x
  3. Step 3: Cross multiply
    6,814.64x = 10,214.23 × 3,069.49
  4. Step 4: Simplify right side
    6,814.64x = 31,352,462.44
  5. Step 5: Solve for x
    x = 31,352,462.44/6,814.64
  6. Step 6: Final answer
    x = 4,600.75

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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.