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Finding the Fourth Proportional to 6,528.80, 9,794.82 and 3,062

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Solution

The fourth proportional to 6,528.80, 9,794.82 and 3,062 is: 4,593.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,528.80 : 9,794.82 = 3,062 : x
  2. Step 2: Convert to fraction form
    6,528.80/9,794.82 = 3,062/x
  3. Step 3: Cross multiply
    6,528.80x = 9,794.82 × 3,062
  4. Step 4: Simplify right side
    6,528.80x = 29,991,738.84
  5. Step 5: Solve for x
    x = 29,991,738.84/6,528.80
  6. Step 6: Final answer
    x = 4,593.76

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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.