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Finding the Fourth Proportional to 6,811, 9,392.94 and 4,418.48

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Solution

The fourth proportional to 6,811, 9,392.94 and 4,418.48 is: 6,093.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811 : 9,392.94 = 4,418.48 : x
  2. Step 2: Convert to fraction form
    6,811/9,392.94 = 4,418.48/x
  3. Step 3: Cross multiply
    6,811x = 9,392.94 × 4,418.48
  4. Step 4: Simplify right side
    6,811x = 41,502,517.53
  5. Step 5: Solve for x
    x = 41,502,517.53/6,811
  6. Step 6: Final answer
    x = 6,093.45

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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.