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Finding the Fourth Proportional to 12,838, 17,716.44 and 6,950

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Solution

The fourth proportional to 12,838, 17,716.44 and 6,950 is: 9,591.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,838 : 17,716.44 = 6,950 : x
  2. Step 2: Convert to fraction form
    12,838/17,716.44 = 6,950/x
  3. Step 3: Cross multiply
    12,838x = 17,716.44 × 6,950
  4. Step 4: Simplify right side
    12,838x = 123,129,258.00
  5. Step 5: Solve for x
    x = 123,129,258.00/12,838
  6. Step 6: Final answer
    x = 9,591.00

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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.