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Finding the Fourth Proportional to 6,531.08, 9,798.30 and 2,832.46

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Solution

The fourth proportional to 6,531.08, 9,798.30 and 2,832.46 is: 4,249.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,531.08 : 9,798.30 = 2,832.46 : x
  2. Step 2: Convert to fraction form
    6,531.08/9,798.30 = 2,832.46/x
  3. Step 3: Cross multiply
    6,531.08x = 9,798.30 × 2,832.46
  4. Step 4: Simplify right side
    6,531.08x = 27,753,268.32
  5. Step 5: Solve for x
    x = 27,753,268.32/6,531.08
  6. Step 6: Final answer
    x = 4,249.42

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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.