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Finding the Fourth Proportional to 7,216.86, 10,825.16 and 2,286.49

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Solution

The fourth proportional to 7,216.86, 10,825.16 and 2,286.49 is: 3,429.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,216.86 : 10,825.16 = 2,286.49 : x
  2. Step 2: Convert to fraction form
    7,216.86/10,825.16 = 2,286.49/x
  3. Step 3: Cross multiply
    7,216.86x = 10,825.16 × 2,286.49
  4. Step 4: Simplify right side
    7,216.86x = 24,751,620.09
  5. Step 5: Solve for x
    x = 24,751,620.09/7,216.86
  6. Step 6: Final answer
    x = 3,429.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.