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Finding the Fourth Proportional to 11,662.16, 17,473.76 and 8,193.20

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Solution

The fourth proportional to 11,662.16, 17,473.76 and 8,193.20 is: 12,276.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,662.16 : 17,473.76 = 8,193.20 : x
  2. Step 2: Convert to fraction form
    11,662.16/17,473.76 = 8,193.20/x
  3. Step 3: Cross multiply
    11,662.16x = 17,473.76 × 8,193.20
  4. Step 4: Simplify right side
    11,662.16x = 143,166,010.43
  5. Step 5: Solve for x
    x = 143,166,010.43/11,662.16
  6. Step 6: Final answer
    x = 12,276.11

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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.