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Finding the Fourth Proportional to 6,496.96, 9,748.44 and 2,338.68

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Solution

The fourth proportional to 6,496.96, 9,748.44 and 2,338.68 is: 3,509.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496.96 : 9,748.44 = 2,338.68 : x
  2. Step 2: Convert to fraction form
    6,496.96/9,748.44 = 2,338.68/x
  3. Step 3: Cross multiply
    6,496.96x = 9,748.44 × 2,338.68
  4. Step 4: Simplify right side
    6,496.96x = 22,798,481.66
  5. Step 5: Solve for x
    x = 22,798,481.66/6,496.96
  6. Step 6: Final answer
    x = 3,509.10

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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.