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Finding the Fourth Proportional to 7,734, 11,591.49 and 3,568.22

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Solution

The fourth proportional to 7,734, 11,591.49 and 3,568.22 is: 5,347.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,734 : 11,591.49 = 3,568.22 : x
  2. Step 2: Convert to fraction form
    7,734/11,591.49 = 3,568.22/x
  3. Step 3: Cross multiply
    7,734x = 11,591.49 × 3,568.22
  4. Step 4: Simplify right side
    7,734x = 41,360,986.45
  5. Step 5: Solve for x
    x = 41,360,986.45/7,734
  6. Step 6: Final answer
    x = 5,347.94

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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.