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Finding the Fourth Proportional to 8,671.91, 13,007.94 and 2,098.10

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Solution

The fourth proportional to 8,671.91, 13,007.94 and 2,098.10 is: 3,147.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,671.91 : 13,007.94 = 2,098.10 : x
  2. Step 2: Convert to fraction form
    8,671.91/13,007.94 = 2,098.10/x
  3. Step 3: Cross multiply
    8,671.91x = 13,007.94 × 2,098.10
  4. Step 4: Simplify right side
    8,671.91x = 27,291,995.37
  5. Step 5: Solve for x
    x = 27,291,995.37/8,671.91
  6. Step 6: Final answer
    x = 3,147.17

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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.