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Finding the Fourth Proportional to 6,911.43, 10,342.80 and 5,949.15

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Solution

The fourth proportional to 6,911.43, 10,342.80 and 5,949.15 is: 8,902.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.43 : 10,342.80 = 5,949.15 : x
  2. Step 2: Convert to fraction form
    6,911.43/10,342.80 = 5,949.15/x
  3. Step 3: Cross multiply
    6,911.43x = 10,342.80 × 5,949.15
  4. Step 4: Simplify right side
    6,911.43x = 61,530,868.62
  5. Step 5: Solve for x
    x = 61,530,868.62/6,911.43
  6. Step 6: Final answer
    x = 8,902.77

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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.