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Finding the Fourth Proportional to 6,877.04, 9,490.48 and 4,082.56

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Solution

The fourth proportional to 6,877.04, 9,490.48 and 4,082.56 is: 5,634.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,877.04 : 9,490.48 = 4,082.56 : x
  2. Step 2: Convert to fraction form
    6,877.04/9,490.48 = 4,082.56/x
  3. Step 3: Cross multiply
    6,877.04x = 9,490.48 × 4,082.56
  4. Step 4: Simplify right side
    6,877.04x = 38,745,454.03
  5. Step 5: Solve for x
    x = 38,745,454.03/6,877.04
  6. Step 6: Final answer
    x = 5,634.03

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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.