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Finding the Fourth Proportional to 9,896.49, 14,843.10 and 3,659.43

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Solution

The fourth proportional to 9,896.49, 14,843.10 and 3,659.43 is: 5,488.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896.49 : 14,843.10 = 3,659.43 : x
  2. Step 2: Convert to fraction form
    9,896.49/14,843.10 = 3,659.43/x
  3. Step 3: Cross multiply
    9,896.49x = 14,843.10 × 3,659.43
  4. Step 4: Simplify right side
    9,896.49x = 54,317,285.43
  5. Step 5: Solve for x
    x = 54,317,285.43/9,896.49
  6. Step 6: Final answer
    x = 5,488.54

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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.