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Finding the Fourth Proportional to 7,183.80, 10,776.06 and 2,566.80

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Solution

The fourth proportional to 7,183.80, 10,776.06 and 2,566.80 is: 3,850.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,183.80 : 10,776.06 = 2,566.80 : x
  2. Step 2: Convert to fraction form
    7,183.80/10,776.06 = 2,566.80/x
  3. Step 3: Cross multiply
    7,183.80x = 10,776.06 × 2,566.80
  4. Step 4: Simplify right side
    7,183.80x = 27,659,990.81
  5. Step 5: Solve for x
    x = 27,659,990.81/7,183.80
  6. Step 6: Final answer
    x = 3,850.33

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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.