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Finding the Fourth Proportional to 6,186, 9,280.44 and 2,082

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Solution

The fourth proportional to 6,186, 9,280.44 and 2,082 is: 3,123.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,186 : 9,280.44 = 2,082 : x
  2. Step 2: Convert to fraction form
    6,186/9,280.44 = 2,082/x
  3. Step 3: Cross multiply
    6,186x = 9,280.44 × 2,082
  4. Step 4: Simplify right side
    6,186x = 19,321,876.08
  5. Step 5: Solve for x
    x = 19,321,876.08/6,186
  6. Step 6: Final answer
    x = 3,123.48

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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.