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Finding the Fourth Proportional to 6,681.26, 9,218.26 and 3,847.61

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Solution

The fourth proportional to 6,681.26, 9,218.26 and 3,847.61 is: 5,308.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,681.26 : 9,218.26 = 3,847.61 : x
  2. Step 2: Convert to fraction form
    6,681.26/9,218.26 = 3,847.61/x
  3. Step 3: Cross multiply
    6,681.26x = 9,218.26 × 3,847.61
  4. Step 4: Simplify right side
    6,681.26x = 35,468,269.36
  5. Step 5: Solve for x
    x = 35,468,269.36/6,681.26
  6. Step 6: Final answer
    x = 5,308.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.