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Finding the Fourth Proportional to 5,896.98, 8,843.13 and 1,735.56

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Solution

The fourth proportional to 5,896.98, 8,843.13 and 1,735.56 is: 2,602.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.98 : 8,843.13 = 1,735.56 : x
  2. Step 2: Convert to fraction form
    5,896.98/8,843.13 = 1,735.56/x
  3. Step 3: Cross multiply
    5,896.98x = 8,843.13 × 1,735.56
  4. Step 4: Simplify right side
    5,896.98x = 15,347,782.70
  5. Step 5: Solve for x
    x = 15,347,782.70/5,896.98
  6. Step 6: Final answer
    x = 2,602.65

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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.