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Finding the Fourth Proportional to 6,575.54, 9,074.46 and 3,743.33

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Solution

The fourth proportional to 6,575.54, 9,074.46 and 3,743.33 is: 5,165.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,575.54 : 9,074.46 = 3,743.33 : x
  2. Step 2: Convert to fraction form
    6,575.54/9,074.46 = 3,743.33/x
  3. Step 3: Cross multiply
    6,575.54x = 9,074.46 × 3,743.33
  4. Step 4: Simplify right side
    6,575.54x = 33,968,652.98
  5. Step 5: Solve for x
    x = 33,968,652.98/6,575.54
  6. Step 6: Final answer
    x = 5,165.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.