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Finding the Fourth Proportional to 11,777.85, 17,642.92 and 5,443.73

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Solution

The fourth proportional to 11,777.85, 17,642.92 and 5,443.73 is: 8,154.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,777.85 : 17,642.92 = 5,443.73 : x
  2. Step 2: Convert to fraction form
    11,777.85/17,642.92 = 5,443.73/x
  3. Step 3: Cross multiply
    11,777.85x = 17,642.92 × 5,443.73
  4. Step 4: Simplify right side
    11,777.85x = 96,043,292.89
  5. Step 5: Solve for x
    x = 96,043,292.89/11,777.85
  6. Step 6: Final answer
    x = 8,154.57

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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.