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Finding the Fourth Proportional to 6,092.50, 8,408.04 and 3,438.94

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Solution

The fourth proportional to 6,092.50, 8,408.04 and 3,438.94 is: 4,745.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092.50 : 8,408.04 = 3,438.94 : x
  2. Step 2: Convert to fraction form
    6,092.50/8,408.04 = 3,438.94/x
  3. Step 3: Cross multiply
    6,092.50x = 8,408.04 × 3,438.94
  4. Step 4: Simplify right side
    6,092.50x = 28,914,745.08
  5. Step 5: Solve for x
    x = 28,914,745.08/6,092.50
  6. Step 6: Final answer
    x = 4,745.96

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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.