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Finding the Fourth Proportional to 5,393.97, 8,090.39 and 1,696.10

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Solution

The fourth proportional to 5,393.97, 8,090.39 and 1,696.10 is: 2,543.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,393.97 : 8,090.39 = 1,696.10 : x
  2. Step 2: Convert to fraction form
    5,393.97/8,090.39 = 1,696.10/x
  3. Step 3: Cross multiply
    5,393.97x = 8,090.39 × 1,696.10
  4. Step 4: Simplify right side
    5,393.97x = 13,722,074.27
  5. Step 5: Solve for x
    x = 13,722,074.27/5,393.97
  6. Step 6: Final answer
    x = 2,543.97

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Half 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.