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Finding the Fourth Proportional to 11,764.12, 16,235.78 and 6,728.80

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Solution

The fourth proportional to 11,764.12, 16,235.78 and 6,728.80 is: 9,286.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,764.12 : 16,235.78 = 6,728.80 : x
  2. Step 2: Convert to fraction form
    11,764.12/16,235.78 = 6,728.80/x
  3. Step 3: Cross multiply
    11,764.12x = 16,235.78 × 6,728.80
  4. Step 4: Simplify right side
    11,764.12x = 109,247,316.46
  5. Step 5: Solve for x
    x = 109,247,316.46/11,764.12
  6. Step 6: Final answer
    x = 9,286.48

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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.