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Finding the Fourth Proportional to 5,190.75, 7,786.15 and 1,295.15

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Solution

The fourth proportional to 5,190.75, 7,786.15 and 1,295.15 is: 1,942.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,190.75 : 7,786.15 = 1,295.15 : x
  2. Step 2: Convert to fraction form
    5,190.75/7,786.15 = 1,295.15/x
  3. Step 3: Cross multiply
    5,190.75x = 7,786.15 × 1,295.15
  4. Step 4: Simplify right side
    5,190.75x = 10,084,232.17
  5. Step 5: Solve for x
    x = 10,084,232.17/5,190.75
  6. Step 6: Final answer
    x = 1,942.73

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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.