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Finding the Fourth Proportional to 6,492.50, 9,745.68 and 2,796.56

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Solution

The fourth proportional to 6,492.50, 9,745.68 and 2,796.56 is: 4,197.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,492.50 : 9,745.68 = 2,796.56 : x
  2. Step 2: Convert to fraction form
    6,492.50/9,745.68 = 2,796.56/x
  3. Step 3: Cross multiply
    6,492.50x = 9,745.68 × 2,796.56
  4. Step 4: Simplify right side
    6,492.50x = 27,254,378.86
  5. Step 5: Solve for x
    x = 27,254,378.86/6,492.50
  6. Step 6: Final answer
    x = 4,197.83

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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.