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Finding the Fourth Proportional to 6,644.26, 9,969.77 and 5,094.19

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Solution

The fourth proportional to 6,644.26, 9,969.77 and 5,094.19 is: 7,643.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,644.26 : 9,969.77 = 5,094.19 : x
  2. Step 2: Convert to fraction form
    6,644.26/9,969.77 = 5,094.19/x
  3. Step 3: Cross multiply
    6,644.26x = 9,969.77 × 5,094.19
  4. Step 4: Simplify right side
    6,644.26x = 50,787,902.64
  5. Step 5: Solve for x
    x = 50,787,902.64/6,644.26
  6. Step 6: Final answer
    x = 7,643.88

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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.