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Finding the Fourth Proportional to 6,446.78, 8,896.02 and 5,976.62

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Solution

The fourth proportional to 6,446.78, 8,896.02 and 5,976.62 is: 8,247.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.78 : 8,896.02 = 5,976.62 : x
  2. Step 2: Convert to fraction form
    6,446.78/8,896.02 = 5,976.62/x
  3. Step 3: Cross multiply
    6,446.78x = 8,896.02 × 5,976.62
  4. Step 4: Simplify right side
    6,446.78x = 53,168,131.05
  5. Step 5: Solve for x
    x = 53,168,131.05/6,446.78
  6. Step 6: Final answer
    x = 8,247.24

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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.