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Finding the Fourth Proportional to 6,083.10, 9,137.34 and 4,914.41

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Solution

The fourth proportional to 6,083.10, 9,137.34 and 4,914.41 is: 7,381.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,083.10 : 9,137.34 = 4,914.41 : x
  2. Step 2: Convert to fraction form
    6,083.10/9,137.34 = 4,914.41/x
  3. Step 3: Cross multiply
    6,083.10x = 9,137.34 × 4,914.41
  4. Step 4: Simplify right side
    6,083.10x = 44,904,589.38
  5. Step 5: Solve for x
    x = 44,904,589.38/6,083.10
  6. Step 6: Final answer
    x = 7,381.86

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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.