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Finding the Fourth Proportional to 6,883.80, 10,369.59 and 6,286.04

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Solution

The fourth proportional to 6,883.80, 10,369.59 and 6,286.04 is: 9,469.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,883.80 : 10,369.59 = 6,286.04 : x
  2. Step 2: Convert to fraction form
    6,883.80/10,369.59 = 6,286.04/x
  3. Step 3: Cross multiply
    6,883.80x = 10,369.59 × 6,286.04
  4. Step 4: Simplify right side
    6,883.80x = 65,183,657.52
  5. Step 5: Solve for x
    x = 65,183,657.52/6,883.80
  6. Step 6: Final answer
    x = 9,469.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.