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Finding the Fourth Proportional to 11,846.49, 17,763.78 and 3,946.22

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Solution

The fourth proportional to 11,846.49, 17,763.78 and 3,946.22 is: 5,917.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,846.49 : 17,763.78 = 3,946.22 : x
  2. Step 2: Convert to fraction form
    11,846.49/17,763.78 = 3,946.22/x
  3. Step 3: Cross multiply
    11,846.49x = 17,763.78 × 3,946.22
  4. Step 4: Simplify right side
    11,846.49x = 70,099,695.09
  5. Step 5: Solve for x
    x = 70,099,695.09/11,846.49
  6. Step 6: Final answer
    x = 5,917.34

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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.