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Finding the Fourth Proportional to 3,486.07, 4,811.10 and 1,993.69

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Solution

The fourth proportional to 3,486.07, 4,811.10 and 1,993.69 is: 2,751.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.07 : 4,811.10 = 1,993.69 : x
  2. Step 2: Convert to fraction form
    3,486.07/4,811.10 = 1,993.69/x
  3. Step 3: Cross multiply
    3,486.07x = 4,811.10 × 1,993.69
  4. Step 4: Simplify right side
    3,486.07x = 9,591,857.32
  5. Step 5: Solve for x
    x = 9,591,857.32/3,486.07
  6. Step 6: Final answer
    x = 2,751.49

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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.