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Finding the Fourth Proportional to 6,871.61, 10,302.73 and 3,171.78

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Solution

The fourth proportional to 6,871.61, 10,302.73 and 3,171.78 is: 4,755.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871.61 : 10,302.73 = 3,171.78 : x
  2. Step 2: Convert to fraction form
    6,871.61/10,302.73 = 3,171.78/x
  3. Step 3: Cross multiply
    6,871.61x = 10,302.73 × 3,171.78
  4. Step 4: Simplify right side
    6,871.61x = 32,677,985.03
  5. Step 5: Solve for x
    x = 32,677,985.03/6,871.61
  6. Step 6: Final answer
    x = 4,755.50

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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.