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Finding the Fourth Proportional to 6,247.68, 9,373.44 and 2,144

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Solution

The fourth proportional to 6,247.68, 9,373.44 and 2,144 is: 3,216.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,247.68 : 9,373.44 = 2,144 : x
  2. Step 2: Convert to fraction form
    6,247.68/9,373.44 = 2,144/x
  3. Step 3: Cross multiply
    6,247.68x = 9,373.44 × 2,144
  4. Step 4: Simplify right side
    6,247.68x = 20,096,655.36
  5. Step 5: Solve for x
    x = 20,096,655.36/6,247.68
  6. Step 6: Final answer
    x = 3,216.66

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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.