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Finding the Fourth Proportional to 6,893.28, 9,512.60 and 3,749.44

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Solution

The fourth proportional to 6,893.28, 9,512.60 and 3,749.44 is: 5,174.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,893.28 : 9,512.60 = 3,749.44 : x
  2. Step 2: Convert to fraction form
    6,893.28/9,512.60 = 3,749.44/x
  3. Step 3: Cross multiply
    6,893.28x = 9,512.60 × 3,749.44
  4. Step 4: Simplify right side
    6,893.28x = 35,666,922.94
  5. Step 5: Solve for x
    x = 35,666,922.94/6,893.28
  6. Step 6: Final answer
    x = 5,174.16

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1.5x scale

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.