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Finding the Fourth Proportional to 4,691.93, 6,461.09 and 4,194.39

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Solution

The fourth proportional to 4,691.93, 6,461.09 and 4,194.39 is: 5,775.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,691.93 : 6,461.09 = 4,194.39 : x
  2. Step 2: Convert to fraction form
    4,691.93/6,461.09 = 4,194.39/x
  3. Step 3: Cross multiply
    4,691.93x = 6,461.09 × 4,194.39
  4. Step 4: Simplify right side
    4,691.93x = 27,100,310.31
  5. Step 5: Solve for x
    x = 27,100,310.31/4,691.93
  6. Step 6: Final answer
    x = 5,775.94

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Half scale
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Double scale
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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.