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Finding the Fourth Proportional to 14,635.62, 20,193.57 and 8,667

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Solution

The fourth proportional to 14,635.62, 20,193.57 and 8,667 is: 11,958.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,635.62 : 20,193.57 = 8,667 : x
  2. Step 2: Convert to fraction form
    14,635.62/20,193.57 = 8,667/x
  3. Step 3: Cross multiply
    14,635.62x = 20,193.57 × 8,667
  4. Step 4: Simplify right side
    14,635.62x = 175,017,671.19
  5. Step 5: Solve for x
    x = 175,017,671.19/14,635.62
  6. Step 6: Final answer
    x = 11,958.34

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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.