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Finding the Fourth Proportional to 7,699.99, 10,625.97 and 4,163.19

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Solution

The fourth proportional to 7,699.99, 10,625.97 and 4,163.19 is: 5,745.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,699.99 : 10,625.97 = 4,163.19 : x
  2. Step 2: Convert to fraction form
    7,699.99/10,625.97 = 4,163.19/x
  3. Step 3: Cross multiply
    7,699.99x = 10,625.97 × 4,163.19
  4. Step 4: Simplify right side
    7,699.99x = 44,237,947.66
  5. Step 5: Solve for x
    x = 44,237,947.66/7,699.99
  6. Step 6: Final answer
    x = 5,745.20

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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.