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Finding the Fourth Proportional to 6,522.60, 9,761.94 and 5,983.08

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Solution

The fourth proportional to 6,522.60, 9,761.94 and 5,983.08 is: 8,954.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522.60 : 9,761.94 = 5,983.08 : x
  2. Step 2: Convert to fraction form
    6,522.60/9,761.94 = 5,983.08/x
  3. Step 3: Cross multiply
    6,522.60x = 9,761.94 × 5,983.08
  4. Step 4: Simplify right side
    6,522.60x = 58,406,467.98
  5. Step 5: Solve for x
    x = 58,406,467.98/6,522.60
  6. Step 6: Final answer
    x = 8,954.48

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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.