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Finding the Fourth Proportional to 7,230.75, 10,850.19 and 7,175.67

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Solution

The fourth proportional to 7,230.75, 10,850.19 and 7,175.67 is: 10,767.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,230.75 : 10,850.19 = 7,175.67 : x
  2. Step 2: Convert to fraction form
    7,230.75/10,850.19 = 7,175.67/x
  3. Step 3: Cross multiply
    7,230.75x = 10,850.19 × 7,175.67
  4. Step 4: Simplify right side
    7,230.75x = 77,857,382.88
  5. Step 5: Solve for x
    x = 77,857,382.88/7,230.75
  6. Step 6: Final answer
    x = 10,767.54

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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.