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Finding the Fourth Proportional to 6,848.56, 9,451.03 and 3,704.78

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Solution

The fourth proportional to 6,848.56, 9,451.03 and 3,704.78 is: 5,112.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,848.56 : 9,451.03 = 3,704.78 : x
  2. Step 2: Convert to fraction form
    6,848.56/9,451.03 = 3,704.78/x
  3. Step 3: Cross multiply
    6,848.56x = 9,451.03 × 3,704.78
  4. Step 4: Simplify right side
    6,848.56x = 35,013,986.92
  5. Step 5: Solve for x
    x = 35,013,986.92/6,848.56
  6. Step 6: Final answer
    x = 5,112.61

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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.