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Finding the Fourth Proportional to 12,097.76, 18,149.76 and 3,778.04

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Solution

The fourth proportional to 12,097.76, 18,149.76 and 3,778.04 is: 5,668.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097.76 : 18,149.76 = 3,778.04 : x
  2. Step 2: Convert to fraction form
    12,097.76/18,149.76 = 3,778.04/x
  3. Step 3: Cross multiply
    12,097.76x = 18,149.76 × 3,778.04
  4. Step 4: Simplify right side
    12,097.76x = 68,570,519.27
  5. Step 5: Solve for x
    x = 68,570,519.27/12,097.76
  6. Step 6: Final answer
    x = 5,668.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.