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Finding the Fourth Proportional to 13,871.40, 20,795.40 and 6,471.96

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Solution

The fourth proportional to 13,871.40, 20,795.40 and 6,471.96 is: 9,702.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,871.40 : 20,795.40 = 6,471.96 : x
  2. Step 2: Convert to fraction form
    13,871.40/20,795.40 = 6,471.96/x
  3. Step 3: Cross multiply
    13,871.40x = 20,795.40 × 6,471.96
  4. Step 4: Simplify right side
    13,871.40x = 134,586,996.98
  5. Step 5: Solve for x
    x = 134,586,996.98/13,871.40
  6. Step 6: Final answer
    x = 9,702.48

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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.