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Finding the Fourth Proportional to 6,257, 8,634.72 and 3,462.56

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Solution

The fourth proportional to 6,257, 8,634.72 and 3,462.56 is: 4,778.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,257 : 8,634.72 = 3,462.56 : x
  2. Step 2: Convert to fraction form
    6,257/8,634.72 = 3,462.56/x
  3. Step 3: Cross multiply
    6,257x = 8,634.72 × 3,462.56
  4. Step 4: Simplify right side
    6,257x = 29,898,236.08
  5. Step 5: Solve for x
    x = 29,898,236.08/6,257
  6. Step 6: Final answer
    x = 4,778.37

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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.