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Finding the Fourth Proportional to 7,195.75, 10,794.24 and 2,199.24

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Solution

The fourth proportional to 7,195.75, 10,794.24 and 2,199.24 is: 3,299.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,195.75 : 10,794.24 = 2,199.24 : x
  2. Step 2: Convert to fraction form
    7,195.75/10,794.24 = 2,199.24/x
  3. Step 3: Cross multiply
    7,195.75x = 10,794.24 × 2,199.24
  4. Step 4: Simplify right side
    7,195.75x = 23,739,124.38
  5. Step 5: Solve for x
    x = 23,739,124.38/7,195.75
  6. Step 6: Final answer
    x = 3,299.05

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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.