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Finding the Fourth Proportional to 6,164.36, 8,504.82 and 3,805.64

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Solution

The fourth proportional to 6,164.36, 8,504.82 and 3,805.64 is: 5,250.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.36 : 8,504.82 = 3,805.64 : x
  2. Step 2: Convert to fraction form
    6,164.36/8,504.82 = 3,805.64/x
  3. Step 3: Cross multiply
    6,164.36x = 8,504.82 × 3,805.64
  4. Step 4: Simplify right side
    6,164.36x = 32,366,283.18
  5. Step 5: Solve for x
    x = 32,366,283.18/6,164.36
  6. Step 6: Final answer
    x = 5,250.55

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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.