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Finding the Fourth Proportional to 8,674.83, 13,012.28 and 2,101

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Solution

The fourth proportional to 8,674.83, 13,012.28 and 2,101 is: 3,151.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,674.83 : 13,012.28 = 2,101 : x
  2. Step 2: Convert to fraction form
    8,674.83/13,012.28 = 2,101/x
  3. Step 3: Cross multiply
    8,674.83x = 13,012.28 × 2,101
  4. Step 4: Simplify right side
    8,674.83x = 27,338,789.78
  5. Step 5: Solve for x
    x = 27,338,789.78/8,674.83
  6. Step 6: Final answer
    x = 3,151.51

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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.