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Finding the Fourth Proportional to 8,006.67, 11,047.41 and 5,745.15

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Solution

The fourth proportional to 8,006.67, 11,047.41 and 5,745.15 is: 7,927.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,006.67 : 11,047.41 = 5,745.15 : x
  2. Step 2: Convert to fraction form
    8,006.67/11,047.41 = 5,745.15/x
  3. Step 3: Cross multiply
    8,006.67x = 11,047.41 × 5,745.15
  4. Step 4: Simplify right side
    8,006.67x = 63,469,027.56
  5. Step 5: Solve for x
    x = 63,469,027.56/8,006.67
  6. Step 6: Final answer
    x = 7,927.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.