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Finding the Fourth Proportional to 6,881.76, 10,324.01 and 2,499.10

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Solution

The fourth proportional to 6,881.76, 10,324.01 and 2,499.10 is: 3,749.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,881.76 : 10,324.01 = 2,499.10 : x
  2. Step 2: Convert to fraction form
    6,881.76/10,324.01 = 2,499.10/x
  3. Step 3: Cross multiply
    6,881.76x = 10,324.01 × 2,499.10
  4. Step 4: Simplify right side
    6,881.76x = 25,800,757.84
  5. Step 5: Solve for x
    x = 25,800,757.84/6,881.76
  6. Step 6: Final answer
    x = 3,749.15

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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.