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Finding the Fourth Proportional to 6,504.34, 9,749.11 and 2,753.78

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Solution

The fourth proportional to 6,504.34, 9,749.11 and 2,753.78 is: 4,127.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.34 : 9,749.11 = 2,753.78 : x
  2. Step 2: Convert to fraction form
    6,504.34/9,749.11 = 2,753.78/x
  3. Step 3: Cross multiply
    6,504.34x = 9,749.11 × 2,753.78
  4. Step 4: Simplify right side
    6,504.34x = 26,846,890.37
  5. Step 5: Solve for x
    x = 26,846,890.37/6,504.34
  6. Step 6: Final answer
    x = 4,127.53

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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.