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Finding the Fourth Proportional to 6,523.11, 9,772.92 and 5,489.55

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Solution

The fourth proportional to 6,523.11, 9,772.92 and 5,489.55 is: 8,224.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.11 : 9,772.92 = 5,489.55 : x
  2. Step 2: Convert to fraction form
    6,523.11/9,772.92 = 5,489.55/x
  3. Step 3: Cross multiply
    6,523.11x = 9,772.92 × 5,489.55
  4. Step 4: Simplify right side
    6,523.11x = 53,648,932.99
  5. Step 5: Solve for x
    x = 53,648,932.99/6,523.11
  6. Step 6: Final answer
    x = 8,224.44

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1.5x scale

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.