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Finding the Fourth Proportional to 6,961.24, 9,606.34 and 3,774.36

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Solution

The fourth proportional to 6,961.24, 9,606.34 and 3,774.36 is: 5,208.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,961.24 : 9,606.34 = 3,774.36 : x
  2. Step 2: Convert to fraction form
    6,961.24/9,606.34 = 3,774.36/x
  3. Step 3: Cross multiply
    6,961.24x = 9,606.34 × 3,774.36
  4. Step 4: Simplify right side
    6,961.24x = 36,257,785.44
  5. Step 5: Solve for x
    x = 36,257,785.44/6,961.24
  6. Step 6: Final answer
    x = 5,208.52

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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.