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Finding the Fourth Proportional to 3,027.97, 4,541.14 and 836.11

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Solution

The fourth proportional to 3,027.97, 4,541.14 and 836.11 is: 1,253.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,027.97 : 4,541.14 = 836.11 : x
  2. Step 2: Convert to fraction form
    3,027.97/4,541.14 = 836.11/x
  3. Step 3: Cross multiply
    3,027.97x = 4,541.14 × 836.11
  4. Step 4: Simplify right side
    3,027.97x = 3,796,892.57
  5. Step 5: Solve for x
    x = 3,796,892.57/3,027.97
  6. Step 6: Final answer
    x = 1,253.94

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Half scale
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Double scale
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Similar ratio
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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.