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Finding the Fourth Proportional to 6,745.40, 9,298.50 and 5,250.68

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Solution

The fourth proportional to 6,745.40, 9,298.50 and 5,250.68 is: 7,238.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,745.40 : 9,298.50 = 5,250.68 : x
  2. Step 2: Convert to fraction form
    6,745.40/9,298.50 = 5,250.68/x
  3. Step 3: Cross multiply
    6,745.40x = 9,298.50 × 5,250.68
  4. Step 4: Simplify right side
    6,745.40x = 48,823,447.98
  5. Step 5: Solve for x
    x = 48,823,447.98/6,745.40
  6. Step 6: Final answer
    x = 7,238.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.