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Finding the Fourth Proportional to 11,896.00, 17,844.12 and 4,874.21

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Solution

The fourth proportional to 11,896.00, 17,844.12 and 4,874.21 is: 7,311.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896.00 : 17,844.12 = 4,874.21 : x
  2. Step 2: Convert to fraction form
    11,896.00/17,844.12 = 4,874.21/x
  3. Step 3: Cross multiply
    11,896.00x = 17,844.12 × 4,874.21
  4. Step 4: Simplify right side
    11,896.00x = 86,975,886.74
  5. Step 5: Solve for x
    x = 86,975,886.74/11,896.00
  6. Step 6: Final answer
    x = 7,311.36

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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.