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Finding the Fourth Proportional to 6,751.88, 10,127.08 and 1,822.01

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Solution

The fourth proportional to 6,751.88, 10,127.08 and 1,822.01 is: 2,732.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,751.88 : 10,127.08 = 1,822.01 : x
  2. Step 2: Convert to fraction form
    6,751.88/10,127.08 = 1,822.01/x
  3. Step 3: Cross multiply
    6,751.88x = 10,127.08 × 1,822.01
  4. Step 4: Simplify right side
    6,751.88x = 18,451,661.79
  5. Step 5: Solve for x
    x = 18,451,661.79/6,751.88
  6. Step 6: Final answer
    x = 2,732.82

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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.