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Finding the Fourth Proportional to 6,739.40, 10,093.41 and 6,505.81

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Solution

The fourth proportional to 6,739.40, 10,093.41 and 6,505.81 is: 9,743.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,739.40 : 10,093.41 = 6,505.81 : x
  2. Step 2: Convert to fraction form
    6,739.40/10,093.41 = 6,505.81/x
  3. Step 3: Cross multiply
    6,739.40x = 10,093.41 × 6,505.81
  4. Step 4: Simplify right side
    6,739.40x = 65,665,782.48
  5. Step 5: Solve for x
    x = 65,665,782.48/6,739.40
  6. Step 6: Final answer
    x = 9,743.56

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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.