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Finding the Fourth Proportional to 7,699.96, 10,625.92 and 4,163.17

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Solution

The fourth proportional to 7,699.96, 10,625.92 and 4,163.17 is: 5,745.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,699.96 : 10,625.92 = 4,163.17 : x
  2. Step 2: Convert to fraction form
    7,699.96/10,625.92 = 4,163.17/x
  3. Step 3: Cross multiply
    7,699.96x = 10,625.92 × 4,163.17
  4. Step 4: Simplify right side
    7,699.96x = 44,237,496.94
  5. Step 5: Solve for x
    x = 44,237,496.94/7,699.96
  6. Step 6: Final answer
    x = 5,745.16

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1.5x scale

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.