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Finding the Fourth Proportional to 6,194.44, 9,290.22 and 2,090.44

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Solution

The fourth proportional to 6,194.44, 9,290.22 and 2,090.44 is: 3,135.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.44 : 9,290.22 = 2,090.44 : x
  2. Step 2: Convert to fraction form
    6,194.44/9,290.22 = 2,090.44/x
  3. Step 3: Cross multiply
    6,194.44x = 9,290.22 × 2,090.44
  4. Step 4: Simplify right side
    6,194.44x = 19,420,647.50
  5. Step 5: Solve for x
    x = 19,420,647.50/6,194.44
  6. Step 6: Final answer
    x = 3,135.17

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.