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Finding the Fourth Proportional to 9,997.94, 13,797.16 and 5,806.46

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Solution

The fourth proportional to 9,997.94, 13,797.16 and 5,806.46 is: 8,012.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,997.94 : 13,797.16 = 5,806.46 : x
  2. Step 2: Convert to fraction form
    9,997.94/13,797.16 = 5,806.46/x
  3. Step 3: Cross multiply
    9,997.94x = 13,797.16 × 5,806.46
  4. Step 4: Simplify right side
    9,997.94x = 80,112,594.13
  5. Step 5: Solve for x
    x = 80,112,594.13/9,997.94
  6. Step 6: Final answer
    x = 8,012.91

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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.