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Finding the Fourth Proportional to 12,860.52, 17,743.60 and 7,194.68

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Solution

The fourth proportional to 12,860.52, 17,743.60 and 7,194.68 is: 9,926.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,860.52 : 17,743.60 = 7,194.68 : x
  2. Step 2: Convert to fraction form
    12,860.52/17,743.60 = 7,194.68/x
  3. Step 3: Cross multiply
    12,860.52x = 17,743.60 × 7,194.68
  4. Step 4: Simplify right side
    12,860.52x = 127,659,524.05
  5. Step 5: Solve for x
    x = 127,659,524.05/12,860.52
  6. Step 6: Final answer
    x = 9,926.47

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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.