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Finding the Fourth Proportional to 6,194.62, 8,546.51 and 3,505.47

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Solution

The fourth proportional to 6,194.62, 8,546.51 and 3,505.47 is: 4,836.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.62 : 8,546.51 = 3,505.47 : x
  2. Step 2: Convert to fraction form
    6,194.62/8,546.51 = 3,505.47/x
  3. Step 3: Cross multiply
    6,194.62x = 8,546.51 × 3,505.47
  4. Step 4: Simplify right side
    6,194.62x = 29,959,511.12
  5. Step 5: Solve for x
    x = 29,959,511.12/6,194.62
  6. Step 6: Final answer
    x = 4,836.37

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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.