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Finding the Fourth Proportional to 6,704.81, 9,253.04 and 3,872.70

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Solution

The fourth proportional to 6,704.81, 9,253.04 and 3,872.70 is: 5,344.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,704.81 : 9,253.04 = 3,872.70 : x
  2. Step 2: Convert to fraction form
    6,704.81/9,253.04 = 3,872.70/x
  3. Step 3: Cross multiply
    6,704.81x = 9,253.04 × 3,872.70
  4. Step 4: Simplify right side
    6,704.81x = 35,834,228.64
  5. Step 5: Solve for x
    x = 35,834,228.64/6,704.81
  6. Step 6: Final answer
    x = 5,344.56

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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.