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Finding the Fourth Proportional to 14,616.54, 20,169.27 and 8,648.46

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Solution

The fourth proportional to 14,616.54, 20,169.27 and 8,648.46 is: 11,933.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,616.54 : 20,169.27 = 8,648.46 : x
  2. Step 2: Convert to fraction form
    14,616.54/20,169.27 = 8,648.46/x
  3. Step 3: Cross multiply
    14,616.54x = 20,169.27 × 8,648.46
  4. Step 4: Simplify right side
    14,616.54x = 174,433,124.82
  5. Step 5: Solve for x
    x = 174,433,124.82/14,616.54
  6. Step 6: Final answer
    x = 11,933.95

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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.