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Finding the Fourth Proportional to 6,196.25, 8,539.01 and 6,082.38

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Solution

The fourth proportional to 6,196.25, 8,539.01 and 6,082.38 is: 8,382.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,196.25 : 8,539.01 = 6,082.38 : x
  2. Step 2: Convert to fraction form
    6,196.25/8,539.01 = 6,082.38/x
  3. Step 3: Cross multiply
    6,196.25x = 8,539.01 × 6,082.38
  4. Step 4: Simplify right side
    6,196.25x = 51,937,503.64
  5. Step 5: Solve for x
    x = 51,937,503.64/6,196.25
  6. Step 6: Final answer
    x = 8,382.09

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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.