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Finding the Fourth Proportional to 10,494.63, 15,745.25 and 3,474.77

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Solution

The fourth proportional to 10,494.63, 15,745.25 and 3,474.77 is: 5,213.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494.63 : 15,745.25 = 3,474.77 : x
  2. Step 2: Convert to fraction form
    10,494.63/15,745.25 = 3,474.77/x
  3. Step 3: Cross multiply
    10,494.63x = 15,745.25 × 3,474.77
  4. Step 4: Simplify right side
    10,494.63x = 54,711,052.30
  5. Step 5: Solve for x
    x = 54,711,052.30/10,494.63
  6. Step 6: Final answer
    x = 5,213.24

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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.