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Finding the Fourth Proportional to 9,672.54, 14,511.03 and 3,098.71

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Solution

The fourth proportional to 9,672.54, 14,511.03 and 3,098.71 is: 4,648.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672.54 : 14,511.03 = 3,098.71 : x
  2. Step 2: Convert to fraction form
    9,672.54/14,511.03 = 3,098.71/x
  3. Step 3: Cross multiply
    9,672.54x = 14,511.03 × 3,098.71
  4. Step 4: Simplify right side
    9,672.54x = 44,965,473.77
  5. Step 5: Solve for x
    x = 44,965,473.77/9,672.54
  6. Step 6: Final answer
    x = 4,648.78

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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.