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Finding the Fourth Proportional to 6,519.72, 9,802.26 and 5,230.20

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Solution

The fourth proportional to 6,519.72, 9,802.26 and 5,230.20 is: 7,863.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,519.72 : 9,802.26 = 5,230.20 : x
  2. Step 2: Convert to fraction form
    6,519.72/9,802.26 = 5,230.20/x
  3. Step 3: Cross multiply
    6,519.72x = 9,802.26 × 5,230.20
  4. Step 4: Simplify right side
    6,519.72x = 51,267,780.25
  5. Step 5: Solve for x
    x = 51,267,780.25/6,519.72
  6. Step 6: Final answer
    x = 7,863.49

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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.