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Finding the Fourth Proportional to 12,646.14, 17,451.63 and 6,980.73

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Solution

The fourth proportional to 12,646.14, 17,451.63 and 6,980.73 is: 9,633.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,646.14 : 17,451.63 = 6,980.73 : x
  2. Step 2: Convert to fraction form
    12,646.14/17,451.63 = 6,980.73/x
  3. Step 3: Cross multiply
    12,646.14x = 17,451.63 × 6,980.73
  4. Step 4: Simplify right side
    12,646.14x = 121,825,117.09
  5. Step 5: Solve for x
    x = 121,825,117.09/12,646.14
  6. Step 6: Final answer
    x = 9,633.38

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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.