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Finding the Fourth Proportional to 6,190.88, 9,287.75 and 2,086.88

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Solution

The fourth proportional to 6,190.88, 9,287.75 and 2,086.88 is: 3,130.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,190.88 : 9,287.75 = 2,086.88 : x
  2. Step 2: Convert to fraction form
    6,190.88/9,287.75 = 2,086.88/x
  3. Step 3: Cross multiply
    6,190.88x = 9,287.75 × 2,086.88
  4. Step 4: Simplify right side
    6,190.88x = 19,382,378.50
  5. Step 5: Solve for x
    x = 19,382,378.50/6,190.88
  6. Step 6: Final answer
    x = 3,130.80

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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.