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Finding the Fourth Proportional to 6,830, 10,247.13 and 2,447.50

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Solution

The fourth proportional to 6,830, 10,247.13 and 2,447.50 is: 3,672.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830 : 10,247.13 = 2,447.50 : x
  2. Step 2: Convert to fraction form
    6,830/10,247.13 = 2,447.50/x
  3. Step 3: Cross multiply
    6,830x = 10,247.13 × 2,447.50
  4. Step 4: Simplify right side
    6,830x = 25,079,850.68
  5. Step 5: Solve for x
    x = 25,079,850.68/6,830
  6. Step 6: Final answer
    x = 3,672.01

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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.