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Finding the Fourth Proportional to 6,770.33, 9,342.29 and 3,786.06

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Solution

The fourth proportional to 6,770.33, 9,342.29 and 3,786.06 is: 5,224.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,770.33 : 9,342.29 = 3,786.06 : x
  2. Step 2: Convert to fraction form
    6,770.33/9,342.29 = 3,786.06/x
  3. Step 3: Cross multiply
    6,770.33x = 9,342.29 × 3,786.06
  4. Step 4: Simplify right side
    6,770.33x = 35,370,470.48
  5. Step 5: Solve for x
    x = 35,370,470.48/6,770.33
  6. Step 6: Final answer
    x = 5,224.33

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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.