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Finding the Fourth Proportional to 6,495.82, 9,743.74 and 2,599.31

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Solution

The fourth proportional to 6,495.82, 9,743.74 and 2,599.31 is: 3,898.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,495.82 : 9,743.74 = 2,599.31 : x
  2. Step 2: Convert to fraction form
    6,495.82/9,743.74 = 2,599.31/x
  3. Step 3: Cross multiply
    6,495.82x = 9,743.74 × 2,599.31
  4. Step 4: Simplify right side
    6,495.82x = 25,327,018.68
  5. Step 5: Solve for x
    x = 25,327,018.68/6,495.82
  6. Step 6: Final answer
    x = 3,898.97

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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.