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Finding the Fourth Proportional to 9,906.56, 14,859.81 and 2,511

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Solution

The fourth proportional to 9,906.56, 14,859.81 and 2,511 is: 3,766.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906.56 : 14,859.81 = 2,511 : x
  2. Step 2: Convert to fraction form
    9,906.56/14,859.81 = 2,511/x
  3. Step 3: Cross multiply
    9,906.56x = 14,859.81 × 2,511
  4. Step 4: Simplify right side
    9,906.56x = 37,312,982.91
  5. Step 5: Solve for x
    x = 37,312,982.91/9,906.56
  6. Step 6: Final answer
    x = 3,766.49

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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.