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Finding the Fourth Proportional to 6,817.81, 10,169.92 and 6,704.91

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Solution

The fourth proportional to 6,817.81, 10,169.92 and 6,704.91 is: 10,001.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,817.81 : 10,169.92 = 6,704.91 : x
  2. Step 2: Convert to fraction form
    6,817.81/10,169.92 = 6,704.91/x
  3. Step 3: Cross multiply
    6,817.81x = 10,169.92 × 6,704.91
  4. Step 4: Simplify right side
    6,817.81x = 68,188,398.31
  5. Step 5: Solve for x
    x = 68,188,398.31/6,817.81
  6. Step 6: Final answer
    x = 10,001.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.