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Finding the Fourth Proportional to 6,848.74, 9,451.26 and 3,704.94

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Solution

The fourth proportional to 6,848.74, 9,451.26 and 3,704.94 is: 5,112.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,848.74 : 9,451.26 = 3,704.94 : x
  2. Step 2: Convert to fraction form
    6,848.74/9,451.26 = 3,704.94/x
  3. Step 3: Cross multiply
    6,848.74x = 9,451.26 × 3,704.94
  4. Step 4: Simplify right side
    6,848.74x = 35,016,351.22
  5. Step 5: Solve for x
    x = 35,016,351.22/6,848.74
  6. Step 6: Final answer
    x = 5,112.82

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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.