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Finding the Fourth Proportional to 10,644.54, 15,950.22 and 4,067.15

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Solution

The fourth proportional to 10,644.54, 15,950.22 and 4,067.15 is: 6,094.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,644.54 : 15,950.22 = 4,067.15 : x
  2. Step 2: Convert to fraction form
    10,644.54/15,950.22 = 4,067.15/x
  3. Step 3: Cross multiply
    10,644.54x = 15,950.22 × 4,067.15
  4. Step 4: Simplify right side
    10,644.54x = 64,871,857.52
  5. Step 5: Solve for x
    x = 64,871,857.52/10,644.54
  6. Step 6: Final answer
    x = 6,094.38

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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.