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Finding the Fourth Proportional to 10,495.64, 15,745.16 and 3,100.84

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Solution

The fourth proportional to 10,495.64, 15,745.16 and 3,100.84 is: 4,651.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,495.64 : 15,745.16 = 3,100.84 : x
  2. Step 2: Convert to fraction form
    10,495.64/15,745.16 = 3,100.84/x
  3. Step 3: Cross multiply
    10,495.64x = 15,745.16 × 3,100.84
  4. Step 4: Simplify right side
    10,495.64x = 48,823,221.93
  5. Step 5: Solve for x
    x = 48,823,221.93/10,495.64
  6. Step 6: Final answer
    x = 4,651.76

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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.