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Finding the Fourth Proportional to 9,997.88, 13,797.07 and 5,806.40

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Solution

The fourth proportional to 9,997.88, 13,797.07 and 5,806.40 is: 8,012.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,997.88 : 13,797.07 = 5,806.40 : x
  2. Step 2: Convert to fraction form
    9,997.88/13,797.07 = 5,806.40/x
  3. Step 3: Cross multiply
    9,997.88x = 13,797.07 × 5,806.40
  4. Step 4: Simplify right side
    9,997.88x = 80,111,223.75
  5. Step 5: Solve for x
    x = 80,111,223.75/9,997.88
  6. Step 6: Final answer
    x = 8,012.83

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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.