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Finding the Fourth Proportional to 6,832.88, 9,427.75 and 3,848.12

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Solution

The fourth proportional to 6,832.88, 9,427.75 and 3,848.12 is: 5,309.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,832.88 : 9,427.75 = 3,848.12 : x
  2. Step 2: Convert to fraction form
    6,832.88/9,427.75 = 3,848.12/x
  3. Step 3: Cross multiply
    6,832.88x = 9,427.75 × 3,848.12
  4. Step 4: Simplify right side
    6,832.88x = 36,279,046.95
  5. Step 5: Solve for x
    x = 36,279,046.95/6,832.88
  6. Step 6: Final answer
    x = 5,309.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.