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Finding the Fourth Proportional to 7,786.22, 10,743 and 4,760.54

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Solution

The fourth proportional to 7,786.22, 10,743 and 4,760.54 is: 6,568.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,786.22 : 10,743 = 4,760.54 : x
  2. Step 2: Convert to fraction form
    7,786.22/10,743 = 4,760.54/x
  3. Step 3: Cross multiply
    7,786.22x = 10,743 × 4,760.54
  4. Step 4: Simplify right side
    7,786.22x = 51,142,481.22
  5. Step 5: Solve for x
    x = 51,142,481.22/7,786.22
  6. Step 6: Final answer
    x = 6,568.33

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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.