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Finding the Fourth Proportional to 6,531.14, 9,797.07 and 4,237.22

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Solution

The fourth proportional to 6,531.14, 9,797.07 and 4,237.22 is: 6,356.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,531.14 : 9,797.07 = 4,237.22 : x
  2. Step 2: Convert to fraction form
    6,531.14/9,797.07 = 4,237.22/x
  3. Step 3: Cross multiply
    6,531.14x = 9,797.07 × 4,237.22
  4. Step 4: Simplify right side
    6,531.14x = 41,512,340.95
  5. Step 5: Solve for x
    x = 41,512,340.95/6,531.14
  6. Step 6: Final answer
    x = 6,356.06

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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.