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Finding the Fourth Proportional to 12,646.73, 17,452.38 and 6,981.48

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Solution

The fourth proportional to 12,646.73, 17,452.38 and 6,981.48 is: 9,634.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,646.73 : 17,452.38 = 6,981.48 : x
  2. Step 2: Convert to fraction form
    12,646.73/17,452.38 = 6,981.48/x
  3. Step 3: Cross multiply
    12,646.73x = 17,452.38 × 6,981.48
  4. Step 4: Simplify right side
    12,646.73x = 121,843,441.92
  5. Step 5: Solve for x
    x = 121,843,441.92/12,646.73
  6. Step 6: Final answer
    x = 9,634.38

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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.