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Finding the Fourth Proportional to 6,982.53, 9,635.65 and 3,838.70

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Solution

The fourth proportional to 6,982.53, 9,635.65 and 3,838.70 is: 5,297.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,982.53 : 9,635.65 = 3,838.70 : x
  2. Step 2: Convert to fraction form
    6,982.53/9,635.65 = 3,838.70/x
  3. Step 3: Cross multiply
    6,982.53x = 9,635.65 × 3,838.70
  4. Step 4: Simplify right side
    6,982.53x = 36,988,311.88
  5. Step 5: Solve for x
    x = 36,988,311.88/6,982.53
  6. Step 6: Final answer
    x = 5,297.27

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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.