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Finding the Fourth Proportional to 6,538.82, 9,808.26 and 1,608.46

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Solution

The fourth proportional to 6,538.82, 9,808.26 and 1,608.46 is: 2,412.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.82 : 9,808.26 = 1,608.46 : x
  2. Step 2: Convert to fraction form
    6,538.82/9,808.26 = 1,608.46/x
  3. Step 3: Cross multiply
    6,538.82x = 9,808.26 × 1,608.46
  4. Step 4: Simplify right side
    6,538.82x = 15,776,193.88
  5. Step 5: Solve for x
    x = 15,776,193.88/6,538.82
  6. Step 6: Final answer
    x = 2,412.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.