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Finding the Fourth Proportional to 6,379.44, 9,569.53 and 1,937.25

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Solution

The fourth proportional to 6,379.44, 9,569.53 and 1,937.25 is: 2,905.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,379.44 : 9,569.53 = 1,937.25 : x
  2. Step 2: Convert to fraction form
    6,379.44/9,569.53 = 1,937.25/x
  3. Step 3: Cross multiply
    6,379.44x = 9,569.53 × 1,937.25
  4. Step 4: Simplify right side
    6,379.44x = 18,538,576.84
  5. Step 5: Solve for x
    x = 18,538,576.84/6,379.44
  6. Step 6: Final answer
    x = 2,905.99

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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.