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Finding the Fourth Proportional to 12,644.56, 18,968.64 and 6,719.90

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Solution

The fourth proportional to 12,644.56, 18,968.64 and 6,719.90 is: 10,080.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,644.56 : 18,968.64 = 6,719.90 : x
  2. Step 2: Convert to fraction form
    12,644.56/18,968.64 = 6,719.90/x
  3. Step 3: Cross multiply
    12,644.56x = 18,968.64 × 6,719.90
  4. Step 4: Simplify right side
    12,644.56x = 127,467,363.94
  5. Step 5: Solve for x
    x = 127,467,363.94/12,644.56
  6. Step 6: Final answer
    x = 10,080.81

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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.