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Finding the Fourth Proportional to 7,773.87, 11,661.48 and 2,227.68

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Solution

The fourth proportional to 7,773.87, 11,661.48 and 2,227.68 is: 3,341.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773.87 : 11,661.48 = 2,227.68 : x
  2. Step 2: Convert to fraction form
    7,773.87/11,661.48 = 2,227.68/x
  3. Step 3: Cross multiply
    7,773.87x = 11,661.48 × 2,227.68
  4. Step 4: Simplify right side
    7,773.87x = 25,978,045.77
  5. Step 5: Solve for x
    x = 25,978,045.77/7,773.87
  6. Step 6: Final answer
    x = 3,341.71

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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.