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Finding the Fourth Proportional to 6,770.48, 9,342.48 and 3,786.32

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Solution

The fourth proportional to 6,770.48, 9,342.48 and 3,786.32 is: 5,224.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,770.48 : 9,342.48 = 3,786.32 : x
  2. Step 2: Convert to fraction form
    6,770.48/9,342.48 = 3,786.32/x
  3. Step 3: Cross multiply
    6,770.48x = 9,342.48 × 3,786.32
  4. Step 4: Simplify right side
    6,770.48x = 35,373,618.87
  5. Step 5: Solve for x
    x = 35,373,618.87/6,770.48
  6. Step 6: Final answer
    x = 5,224.68

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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.