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Finding the Fourth Proportional to 8,671.02, 13,006.54 and 2,097.22

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Solution

The fourth proportional to 8,671.02, 13,006.54 and 2,097.22 is: 3,145.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,671.02 : 13,006.54 = 2,097.22 : x
  2. Step 2: Convert to fraction form
    8,671.02/13,006.54 = 2,097.22/x
  3. Step 3: Cross multiply
    8,671.02x = 13,006.54 × 2,097.22
  4. Step 4: Simplify right side
    8,671.02x = 27,277,533.73
  5. Step 5: Solve for x
    x = 27,277,533.73/8,671.02
  6. Step 6: Final answer
    x = 3,145.83

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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.