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Finding the Fourth Proportional to 6,848.68, 9,451.12 and 3,704.87

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Solution

The fourth proportional to 6,848.68, 9,451.12 and 3,704.87 is: 5,112.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,848.68 : 9,451.12 = 3,704.87 : x
  2. Step 2: Convert to fraction form
    6,848.68/9,451.12 = 3,704.87/x
  3. Step 3: Cross multiply
    6,848.68x = 9,451.12 × 3,704.87
  4. Step 4: Simplify right side
    6,848.68x = 35,015,114.44
  5. Step 5: Solve for x
    x = 35,015,114.44/6,848.68
  6. Step 6: Final answer
    x = 5,112.68

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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.