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Finding the Fourth Proportional to 6,522.81, 9,788.31 and 3,754.91

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Solution

The fourth proportional to 6,522.81, 9,788.31 and 3,754.91 is: 5,634.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522.81 : 9,788.31 = 3,754.91 : x
  2. Step 2: Convert to fraction form
    6,522.81/9,788.31 = 3,754.91/x
  3. Step 3: Cross multiply
    6,522.81x = 9,788.31 × 3,754.91
  4. Step 4: Simplify right side
    6,522.81x = 36,754,174.16
  5. Step 5: Solve for x
    x = 36,754,174.16/6,522.81
  6. Step 6: Final answer
    x = 5,634.71

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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.