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Finding the Fourth Proportional to 5,463.40, 8,195.10 and 5,194.60

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Solution

The fourth proportional to 5,463.40, 8,195.10 and 5,194.60 is: 7,791.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,463.40 : 8,195.10 = 5,194.60 : x
  2. Step 2: Convert to fraction form
    5,463.40/8,195.10 = 5,194.60/x
  3. Step 3: Cross multiply
    5,463.40x = 8,195.10 × 5,194.60
  4. Step 4: Simplify right side
    5,463.40x = 42,570,266.46
  5. Step 5: Solve for x
    x = 42,570,266.46/5,463.40
  6. Step 6: Final answer
    x = 7,791.90

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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.