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Finding the Fourth Proportional to 13,616.64, 18,791.04 and 8,027.52

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Solution

The fourth proportional to 13,616.64, 18,791.04 and 8,027.52 is: 11,078.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,616.64 : 18,791.04 = 8,027.52 : x
  2. Step 2: Convert to fraction form
    13,616.64/18,791.04 = 8,027.52/x
  3. Step 3: Cross multiply
    13,616.64x = 18,791.04 × 8,027.52
  4. Step 4: Simplify right side
    13,616.64x = 150,845,449.42
  5. Step 5: Solve for x
    x = 150,845,449.42/13,616.64
  6. Step 6: Final answer
    x = 11,078.02

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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.