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Finding the Fourth Proportional to 6,348, 8,760.24 and 3,553.50

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Solution

The fourth proportional to 6,348, 8,760.24 and 3,553.50 is: 4,903.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,348 : 8,760.24 = 3,553.50 : x
  2. Step 2: Convert to fraction form
    6,348/8,760.24 = 3,553.50/x
  3. Step 3: Cross multiply
    6,348x = 8,760.24 × 3,553.50
  4. Step 4: Simplify right side
    6,348x = 31,129,512.84
  5. Step 5: Solve for x
    x = 31,129,512.84/6,348
  6. Step 6: Final answer
    x = 4,903.83

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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.