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Finding the Fourth Proportional to 6,524.14, 9,786.20 and 2,364.14

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Solution

The fourth proportional to 6,524.14, 9,786.20 and 2,364.14 is: 3,546.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,524.14 : 9,786.20 = 2,364.14 : x
  2. Step 2: Convert to fraction form
    6,524.14/9,786.20 = 2,364.14/x
  3. Step 3: Cross multiply
    6,524.14x = 9,786.20 × 2,364.14
  4. Step 4: Simplify right side
    6,524.14x = 23,135,946.87
  5. Step 5: Solve for x
    x = 23,135,946.87/6,524.14
  6. Step 6: Final answer
    x = 3,546.21

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Similar ratio
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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.