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Finding the Fourth Proportional to 6,711.74, 9,261.74 and 3,727.42

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Solution

The fourth proportional to 6,711.74, 9,261.74 and 3,727.42 is: 5,143.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711.74 : 9,261.74 = 3,727.42 : x
  2. Step 2: Convert to fraction form
    6,711.74/9,261.74 = 3,727.42/x
  3. Step 3: Cross multiply
    6,711.74x = 9,261.74 × 3,727.42
  4. Step 4: Simplify right side
    6,711.74x = 34,522,394.91
  5. Step 5: Solve for x
    x = 34,522,394.91/6,711.74
  6. Step 6: Final answer
    x = 5,143.58

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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.