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Finding the Fourth Proportional to 7,190.67, 10,786.16 and 2,260.31

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Solution

The fourth proportional to 7,190.67, 10,786.16 and 2,260.31 is: 3,390.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,190.67 : 10,786.16 = 2,260.31 : x
  2. Step 2: Convert to fraction form
    7,190.67/10,786.16 = 2,260.31/x
  3. Step 3: Cross multiply
    7,190.67x = 10,786.16 × 2,260.31
  4. Step 4: Simplify right side
    7,190.67x = 24,380,017.03
  5. Step 5: Solve for x
    x = 24,380,017.03/7,190.67
  6. Step 6: Final answer
    x = 3,390.51

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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.