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Finding the Fourth Proportional to 5,494.72, 7,574.10 and 4,163.08

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Solution

The fourth proportional to 5,494.72, 7,574.10 and 4,163.08 is: 5,738.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.72 : 7,574.10 = 4,163.08 : x
  2. Step 2: Convert to fraction form
    5,494.72/7,574.10 = 4,163.08/x
  3. Step 3: Cross multiply
    5,494.72x = 7,574.10 × 4,163.08
  4. Step 4: Simplify right side
    5,494.72x = 31,531,584.23
  5. Step 5: Solve for x
    x = 31,531,584.23/5,494.72
  6. Step 6: Final answer
    x = 5,738.52

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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.