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Finding the Fourth Proportional to 12,646.52, 17,452 and 6,981.84

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Solution

The fourth proportional to 12,646.52, 17,452 and 6,981.84 is: 9,634.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,646.52 : 17,452 = 6,981.84 : x
  2. Step 2: Convert to fraction form
    12,646.52/17,452 = 6,981.84/x
  3. Step 3: Cross multiply
    12,646.52x = 17,452 × 6,981.84
  4. Step 4: Simplify right side
    12,646.52x = 121,847,071.68
  5. Step 5: Solve for x
    x = 121,847,071.68/12,646.52
  6. Step 6: Final answer
    x = 9,634.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.