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Finding the Fourth Proportional to 5,194.77, 7,168.76 and 2,836.90

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Solution

The fourth proportional to 5,194.77, 7,168.76 and 2,836.90 is: 3,914.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.77 : 7,168.76 = 2,836.90 : x
  2. Step 2: Convert to fraction form
    5,194.77/7,168.76 = 2,836.90/x
  3. Step 3: Cross multiply
    5,194.77x = 7,168.76 × 2,836.90
  4. Step 4: Simplify right side
    5,194.77x = 20,337,055.24
  5. Step 5: Solve for x
    x = 20,337,055.24/5,194.77
  6. Step 6: Final answer
    x = 3,914.91

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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.