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Finding the Fourth Proportional to 6,311.17, 9,422.24 and 4,822.53

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Solution

The fourth proportional to 6,311.17, 9,422.24 and 4,822.53 is: 7,199.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.17 : 9,422.24 = 4,822.53 : x
  2. Step 2: Convert to fraction form
    6,311.17/9,422.24 = 4,822.53/x
  3. Step 3: Cross multiply
    6,311.17x = 9,422.24 × 4,822.53
  4. Step 4: Simplify right side
    6,311.17x = 45,438,987.96
  5. Step 5: Solve for x
    x = 45,438,987.96/6,311.17
  6. Step 6: Final answer
    x = 7,199.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.