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Finding the Fourth Proportional to 6,683.80, 9,224.62 and 3,850.63

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Solution

The fourth proportional to 6,683.80, 9,224.62 and 3,850.63 is: 5,314.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,683.80 : 9,224.62 = 3,850.63 : x
  2. Step 2: Convert to fraction form
    6,683.80/9,224.62 = 3,850.63/x
  3. Step 3: Cross multiply
    6,683.80x = 9,224.62 × 3,850.63
  4. Step 4: Simplify right side
    6,683.80x = 35,520,552.39
  5. Step 5: Solve for x
    x = 35,520,552.39/6,683.80
  6. Step 6: Final answer
    x = 5,314.42

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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.