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Finding the Fourth Proportional to 11,841.39, 17,762.17 and 8,132.38

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Solution

The fourth proportional to 11,841.39, 17,762.17 and 8,132.38 is: 12,198.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,841.39 : 17,762.17 = 8,132.38 : x
  2. Step 2: Convert to fraction form
    11,841.39/17,762.17 = 8,132.38/x
  3. Step 3: Cross multiply
    11,841.39x = 17,762.17 × 8,132.38
  4. Step 4: Simplify right side
    11,841.39x = 144,448,688.40
  5. Step 5: Solve for x
    x = 144,448,688.40/11,841.39
  6. Step 6: Final answer
    x = 12,198.62

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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.