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Finding the Fourth Proportional to 6,559, 9,837.11 and 2,400.97

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Solution

The fourth proportional to 6,559, 9,837.11 and 2,400.97 is: 3,600.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,559 : 9,837.11 = 2,400.97 : x
  2. Step 2: Convert to fraction form
    6,559/9,837.11 = 2,400.97/x
  3. Step 3: Cross multiply
    6,559x = 9,837.11 × 2,400.97
  4. Step 4: Simplify right side
    6,559x = 23,618,606.00
  5. Step 5: Solve for x
    x = 23,618,606.00/6,559
  6. Step 6: Final answer
    x = 3,600.95

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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.