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Finding the Fourth Proportional to 14,636.70, 20,198.61 and 7,922.32

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Solution

The fourth proportional to 14,636.70, 20,198.61 and 7,922.32 is: 10,932.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,636.70 : 20,198.61 = 7,922.32 : x
  2. Step 2: Convert to fraction form
    14,636.70/20,198.61 = 7,922.32/x
  3. Step 3: Cross multiply
    14,636.70x = 20,198.61 × 7,922.32
  4. Step 4: Simplify right side
    14,636.70x = 160,019,801.48
  5. Step 5: Solve for x
    x = 160,019,801.48/14,636.70
  6. Step 6: Final answer
    x = 10,932.78

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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.