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Finding the Fourth Proportional to 7,863.64, 11,796.22 and 2,932.12

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Solution

The fourth proportional to 7,863.64, 11,796.22 and 2,932.12 is: 4,398.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,863.64 : 11,796.22 = 2,932.12 : x
  2. Step 2: Convert to fraction form
    7,863.64/11,796.22 = 2,932.12/x
  3. Step 3: Cross multiply
    7,863.64x = 11,796.22 × 2,932.12
  4. Step 4: Simplify right side
    7,863.64x = 34,587,932.59
  5. Step 5: Solve for x
    x = 34,587,932.59/7,863.64
  6. Step 6: Final answer
    x = 4,398.46

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1.5x scale

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.