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Finding the Fourth Proportional to 12,791.75, 17,654.14 and 7,486.55

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Solution

The fourth proportional to 12,791.75, 17,654.14 and 7,486.55 is: 10,332.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,791.75 : 17,654.14 = 7,486.55 : x
  2. Step 2: Convert to fraction form
    12,791.75/17,654.14 = 7,486.55/x
  3. Step 3: Cross multiply
    12,791.75x = 17,654.14 × 7,486.55
  4. Step 4: Simplify right side
    12,791.75x = 132,168,561.03
  5. Step 5: Solve for x
    x = 132,168,561.03/12,791.75
  6. Step 6: Final answer
    x = 10,332.33

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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.