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Finding the Fourth Proportional to 6,832.01, 9,408.32 and 5,935.34

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Solution

The fourth proportional to 6,832.01, 9,408.32 and 5,935.34 is: 8,173.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,832.01 : 9,408.32 = 5,935.34 : x
  2. Step 2: Convert to fraction form
    6,832.01/9,408.32 = 5,935.34/x
  3. Step 3: Cross multiply
    6,832.01x = 9,408.32 × 5,935.34
  4. Step 4: Simplify right side
    6,832.01x = 55,841,592.87
  5. Step 5: Solve for x
    x = 55,841,592.87/6,832.01
  6. Step 6: Final answer
    x = 8,173.52

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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.