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Finding the Fourth Proportional to 6,674.76, 10,013.64 and 3,387.72

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Solution

The fourth proportional to 6,674.76, 10,013.64 and 3,387.72 is: 5,082.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,674.76 : 10,013.64 = 3,387.72 : x
  2. Step 2: Convert to fraction form
    6,674.76/10,013.64 = 3,387.72/x
  3. Step 3: Cross multiply
    6,674.76x = 10,013.64 × 3,387.72
  4. Step 4: Simplify right side
    6,674.76x = 33,923,408.50
  5. Step 5: Solve for x
    x = 33,923,408.50/6,674.76
  6. Step 6: Final answer
    x = 5,082.34

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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.