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Finding the Fourth Proportional to 11,772.92, 17,662.10 and 3,453.58

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Solution

The fourth proportional to 11,772.92, 17,662.10 and 3,453.58 is: 5,181.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,772.92 : 17,662.10 = 3,453.58 : x
  2. Step 2: Convert to fraction form
    11,772.92/17,662.10 = 3,453.58/x
  3. Step 3: Cross multiply
    11,772.92x = 17,662.10 × 3,453.58
  4. Step 4: Simplify right side
    11,772.92x = 60,997,475.32
  5. Step 5: Solve for x
    x = 60,997,475.32/11,772.92
  6. Step 6: Final answer
    x = 5,181.17

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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.