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Finding the Fourth Proportional to 6,139.76, 9,207.81 and 2,243.25

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Solution

The fourth proportional to 6,139.76, 9,207.81 and 2,243.25 is: 3,364.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,139.76 : 9,207.81 = 2,243.25 : x
  2. Step 2: Convert to fraction form
    6,139.76/9,207.81 = 2,243.25/x
  3. Step 3: Cross multiply
    6,139.76x = 9,207.81 × 2,243.25
  4. Step 4: Simplify right side
    6,139.76x = 20,655,419.78
  5. Step 5: Solve for x
    x = 20,655,419.78/6,139.76
  6. Step 6: Final answer
    x = 3,364.21

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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.