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Finding the Fourth Proportional to 6,640.94, 9,164.13 and 3,656.20

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Solution

The fourth proportional to 6,640.94, 9,164.13 and 3,656.20 is: 5,045.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,640.94 : 9,164.13 = 3,656.20 : x
  2. Step 2: Convert to fraction form
    6,640.94/9,164.13 = 3,656.20/x
  3. Step 3: Cross multiply
    6,640.94x = 9,164.13 × 3,656.20
  4. Step 4: Simplify right side
    6,640.94x = 33,505,905.88
  5. Step 5: Solve for x
    x = 33,505,905.88/6,640.94
  6. Step 6: Final answer
    x = 5,045.36

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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.