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Finding the Fourth Proportional to 11,730.44, 17,581.62 and 8,201.18

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Solution

The fourth proportional to 11,730.44, 17,581.62 and 8,201.18 is: 12,291.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,730.44 : 17,581.62 = 8,201.18 : x
  2. Step 2: Convert to fraction form
    11,730.44/17,581.62 = 8,201.18/x
  3. Step 3: Cross multiply
    11,730.44x = 17,581.62 × 8,201.18
  4. Step 4: Simplify right side
    11,730.44x = 144,190,030.31
  5. Step 5: Solve for x
    x = 144,190,030.31/11,730.44
  6. Step 6: Final answer
    x = 12,291.95

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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.