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Finding the Fourth Proportional to 14,691.50, 20,274.27 and 8,067.50

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Solution

The fourth proportional to 14,691.50, 20,274.27 and 8,067.50 is: 11,133.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,691.50 : 20,274.27 = 8,067.50 : x
  2. Step 2: Convert to fraction form
    14,691.50/20,274.27 = 8,067.50/x
  3. Step 3: Cross multiply
    14,691.50x = 20,274.27 × 8,067.50
  4. Step 4: Simplify right side
    14,691.50x = 163,562,673.23
  5. Step 5: Solve for x
    x = 163,562,673.23/14,691.50
  6. Step 6: Final answer
    x = 11,133.15

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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.