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Finding the Fourth Proportional to 6,561.20, 9,843.05 and 2,120.06

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Solution

The fourth proportional to 6,561.20, 9,843.05 and 2,120.06 is: 3,180.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,561.20 : 9,843.05 = 2,120.06 : x
  2. Step 2: Convert to fraction form
    6,561.20/9,843.05 = 2,120.06/x
  3. Step 3: Cross multiply
    6,561.20x = 9,843.05 × 2,120.06
  4. Step 4: Simplify right side
    6,561.20x = 20,867,886.49
  5. Step 5: Solve for x
    x = 20,867,886.49/6,561.20
  6. Step 6: Final answer
    x = 3,180.50

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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.