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Finding the Fourth Proportional to 11,305.20, 16,957.80 and 9,634.80

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Solution

The fourth proportional to 11,305.20, 16,957.80 and 9,634.80 is: 14,452.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,305.20 : 16,957.80 = 9,634.80 : x
  2. Step 2: Convert to fraction form
    11,305.20/16,957.80 = 9,634.80/x
  3. Step 3: Cross multiply
    11,305.20x = 16,957.80 × 9,634.80
  4. Step 4: Simplify right side
    11,305.20x = 163,385,011.44
  5. Step 5: Solve for x
    x = 163,385,011.44/11,305.20
  6. Step 6: Final answer
    x = 14,452.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.