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Finding the Fourth Proportional to 6,889.42, 9,507.36 and 3,745.54

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Solution

The fourth proportional to 6,889.42, 9,507.36 and 3,745.54 is: 5,168.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,889.42 : 9,507.36 = 3,745.54 : x
  2. Step 2: Convert to fraction form
    6,889.42/9,507.36 = 3,745.54/x
  3. Step 3: Cross multiply
    6,889.42x = 9,507.36 × 3,745.54
  4. Step 4: Simplify right side
    6,889.42x = 35,610,197.17
  5. Step 5: Solve for x
    x = 35,610,197.17/6,889.42
  6. Step 6: Final answer
    x = 5,168.82

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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.