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Finding the Fourth Proportional to 6,776.14, 9,349.95 and 3,982.18

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Solution

The fourth proportional to 6,776.14, 9,349.95 and 3,982.18 is: 5,494.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,776.14 : 9,349.95 = 3,982.18 : x
  2. Step 2: Convert to fraction form
    6,776.14/9,349.95 = 3,982.18/x
  3. Step 3: Cross multiply
    6,776.14x = 9,349.95 × 3,982.18
  4. Step 4: Simplify right side
    6,776.14x = 37,233,183.89
  5. Step 5: Solve for x
    x = 37,233,183.89/6,776.14
  6. Step 6: Final answer
    x = 5,494.75

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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.