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Finding the Fourth Proportional to 6,384.82, 9,560.82 and 3,912.14

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Solution

The fourth proportional to 6,384.82, 9,560.82 and 3,912.14 is: 5,858.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384.82 : 9,560.82 = 3,912.14 : x
  2. Step 2: Convert to fraction form
    6,384.82/9,560.82 = 3,912.14/x
  3. Step 3: Cross multiply
    6,384.82x = 9,560.82 × 3,912.14
  4. Step 4: Simplify right side
    6,384.82x = 37,403,266.35
  5. Step 5: Solve for x
    x = 37,403,266.35/6,384.82
  6. Step 6: Final answer
    x = 5,858.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.