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Finding the Fourth Proportional to 10,682, 16,025.06 and 3,285.14

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Solution

The fourth proportional to 10,682, 16,025.06 and 3,285.14 is: 4,928.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,682 : 16,025.06 = 3,285.14 : x
  2. Step 2: Convert to fraction form
    10,682/16,025.06 = 3,285.14/x
  3. Step 3: Cross multiply
    10,682x = 16,025.06 × 3,285.14
  4. Step 4: Simplify right side
    10,682x = 52,644,565.61
  5. Step 5: Solve for x
    x = 52,644,565.61/10,682
  6. Step 6: Final answer
    x = 4,928.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.