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Finding the Fourth Proportional to 6,538.93, 9,808.24 and 1,608.61

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Solution

The fourth proportional to 6,538.93, 9,808.24 and 1,608.61 is: 2,412.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.93 : 9,808.24 = 1,608.61 : x
  2. Step 2: Convert to fraction form
    6,538.93/9,808.24 = 1,608.61/x
  3. Step 3: Cross multiply
    6,538.93x = 9,808.24 × 1,608.61
  4. Step 4: Simplify right side
    6,538.93x = 15,777,600.38
  5. Step 5: Solve for x
    x = 15,777,600.38/6,538.93
  6. Step 6: Final answer
    x = 2,412.87

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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.