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Finding the Fourth Proportional to 6,933.76, 10,401.30 and 2,551.30

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Solution

The fourth proportional to 6,933.76, 10,401.30 and 2,551.30 is: 3,827.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,933.76 : 10,401.30 = 2,551.30 : x
  2. Step 2: Convert to fraction form
    6,933.76/10,401.30 = 2,551.30/x
  3. Step 3: Cross multiply
    6,933.76x = 10,401.30 × 2,551.30
  4. Step 4: Simplify right side
    6,933.76x = 26,536,836.69
  5. Step 5: Solve for x
    x = 26,536,836.69/6,933.76
  6. Step 6: Final answer
    x = 3,827.19

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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.