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Finding the Fourth Proportional to 6,551.12, 9,811.92 and 3,771.20

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Solution

The fourth proportional to 6,551.12, 9,811.92 and 3,771.20 is: 5,648.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,551.12 : 9,811.92 = 3,771.20 : x
  2. Step 2: Convert to fraction form
    6,551.12/9,811.92 = 3,771.20/x
  3. Step 3: Cross multiply
    6,551.12x = 9,811.92 × 3,771.20
  4. Step 4: Simplify right side
    6,551.12x = 37,002,712.70
  5. Step 5: Solve for x
    x = 37,002,712.70/6,551.12
  6. Step 6: Final answer
    x = 5,648.30

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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.