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Finding the Fourth Proportional to 11,562.75, 17,344.12 and 2,797.66

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Solution

The fourth proportional to 11,562.75, 17,344.12 and 2,797.66 is: 4,196.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,562.75 : 17,344.12 = 2,797.66 : x
  2. Step 2: Convert to fraction form
    11,562.75/17,344.12 = 2,797.66/x
  3. Step 3: Cross multiply
    11,562.75x = 17,344.12 × 2,797.66
  4. Step 4: Simplify right side
    11,562.75x = 48,522,922.08
  5. Step 5: Solve for x
    x = 48,522,922.08/11,562.75
  6. Step 6: Final answer
    x = 4,196.49

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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.