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Finding the Fourth Proportional to 12,468.82, 17,203.44 and 7,163.32

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Solution

The fourth proportional to 12,468.82, 17,203.44 and 7,163.32 is: 9,883.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,468.82 : 17,203.44 = 7,163.32 : x
  2. Step 2: Convert to fraction form
    12,468.82/17,203.44 = 7,163.32/x
  3. Step 3: Cross multiply
    12,468.82x = 17,203.44 × 7,163.32
  4. Step 4: Simplify right side
    12,468.82x = 123,233,745.82
  5. Step 5: Solve for x
    x = 123,233,745.82/12,468.82
  6. Step 6: Final answer
    x = 9,883.35

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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.