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Finding the Fourth Proportional to 9,850.41, 13,593.83 and 6,022.62

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Solution

The fourth proportional to 9,850.41, 13,593.83 and 6,022.62 is: 8,311.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,850.41 : 13,593.83 = 6,022.62 : x
  2. Step 2: Convert to fraction form
    9,850.41/13,593.83 = 6,022.62/x
  3. Step 3: Cross multiply
    9,850.41x = 13,593.83 × 6,022.62
  4. Step 4: Simplify right side
    9,850.41x = 81,870,442.32
  5. Step 5: Solve for x
    x = 81,870,442.32/9,850.41
  6. Step 6: Final answer
    x = 8,311.37

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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.