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Finding the Fourth Proportional to 6,751.50, 10,127.22 and 1,821.63

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Solution

The fourth proportional to 6,751.50, 10,127.22 and 1,821.63 is: 2,732.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,751.50 : 10,127.22 = 1,821.63 : x
  2. Step 2: Convert to fraction form
    6,751.50/10,127.22 = 1,821.63/x
  3. Step 3: Cross multiply
    6,751.50x = 10,127.22 × 1,821.63
  4. Step 4: Simplify right side
    6,751.50x = 18,448,047.77
  5. Step 5: Solve for x
    x = 18,448,047.77/6,751.50
  6. Step 6: Final answer
    x = 2,732.44

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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.