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Finding the Fourth Proportional to 6,683.40, 10,033.20 and 6,634.80

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Solution

The fourth proportional to 6,683.40, 10,033.20 and 6,634.80 is: 9,960.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,683.40 : 10,033.20 = 6,634.80 : x
  2. Step 2: Convert to fraction form
    6,683.40/10,033.20 = 6,634.80/x
  3. Step 3: Cross multiply
    6,683.40x = 10,033.20 × 6,634.80
  4. Step 4: Simplify right side
    6,683.40x = 66,568,275.36
  5. Step 5: Solve for x
    x = 66,568,275.36/6,683.40
  6. Step 6: Final answer
    x = 9,960.24

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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.