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Finding the Fourth Proportional to 6,770.31, 9,342.94 and 3,786.10

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Solution

The fourth proportional to 6,770.31, 9,342.94 and 3,786.10 is: 5,224.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,770.31 : 9,342.94 = 3,786.10 : x
  2. Step 2: Convert to fraction form
    6,770.31/9,342.94 = 3,786.10/x
  3. Step 3: Cross multiply
    6,770.31x = 9,342.94 × 3,786.10
  4. Step 4: Simplify right side
    6,770.31x = 35,373,305.13
  5. Step 5: Solve for x
    x = 35,373,305.13/6,770.31
  6. Step 6: Final answer
    x = 5,224.77

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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.