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Finding the Fourth Proportional to 7,099.60, 10,640.49 and 4,170.64

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Solution

The fourth proportional to 7,099.60, 10,640.49 and 4,170.64 is: 6,250.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,099.60 : 10,640.49 = 4,170.64 : x
  2. Step 2: Convert to fraction form
    7,099.60/10,640.49 = 4,170.64/x
  3. Step 3: Cross multiply
    7,099.60x = 10,640.49 × 4,170.64
  4. Step 4: Simplify right side
    7,099.60x = 44,377,653.21
  5. Step 5: Solve for x
    x = 44,377,653.21/7,099.60
  6. Step 6: Final answer
    x = 6,250.73

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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.