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Finding the Fourth Proportional to 6,168.22, 9,253.71 and 1,786.01

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Solution

The fourth proportional to 6,168.22, 9,253.71 and 1,786.01 is: 2,679.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,168.22 : 9,253.71 = 1,786.01 : x
  2. Step 2: Convert to fraction form
    6,168.22/9,253.71 = 1,786.01/x
  3. Step 3: Cross multiply
    6,168.22x = 9,253.71 × 1,786.01
  4. Step 4: Simplify right side
    6,168.22x = 16,527,218.60
  5. Step 5: Solve for x
    x = 16,527,218.60/6,168.22
  6. Step 6: Final answer
    x = 2,679.41

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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.