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Finding the Fourth Proportional to 6,086.81, 9,124.75 and 2,190.31

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Solution

The fourth proportional to 6,086.81, 9,124.75 and 2,190.31 is: 3,283.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,086.81 : 9,124.75 = 2,190.31 : x
  2. Step 2: Convert to fraction form
    6,086.81/9,124.75 = 2,190.31/x
  3. Step 3: Cross multiply
    6,086.81x = 9,124.75 × 2,190.31
  4. Step 4: Simplify right side
    6,086.81x = 19,986,011.10
  5. Step 5: Solve for x
    x = 19,986,011.10/6,086.81
  6. Step 6: Final answer
    x = 3,283.49

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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.