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Finding the Fourth Proportional to 11,714.57, 17,571.81 and 2,949.49

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Solution

The fourth proportional to 11,714.57, 17,571.81 and 2,949.49 is: 4,424.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,714.57 : 17,571.81 = 2,949.49 : x
  2. Step 2: Convert to fraction form
    11,714.57/17,571.81 = 2,949.49/x
  3. Step 3: Cross multiply
    11,714.57x = 17,571.81 × 2,949.49
  4. Step 4: Simplify right side
    11,714.57x = 51,827,877.88
  5. Step 5: Solve for x
    x = 51,827,877.88/11,714.57
  6. Step 6: Final answer
    x = 4,424.22

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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.