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Finding the Fourth Proportional to 6,893.06, 9,512.38 and 3,749.26

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Solution

The fourth proportional to 6,893.06, 9,512.38 and 3,749.26 is: 5,173.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,893.06 : 9,512.38 = 3,749.26 : x
  2. Step 2: Convert to fraction form
    6,893.06/9,512.38 = 3,749.26/x
  3. Step 3: Cross multiply
    6,893.06x = 9,512.38 × 3,749.26
  4. Step 4: Simplify right side
    6,893.06x = 35,664,385.84
  5. Step 5: Solve for x
    x = 35,664,385.84/6,893.06
  6. Step 6: Final answer
    x = 5,173.96

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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.