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Finding the Fourth Proportional to 9,997.80, 13,797.08 and 5,521.47

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Solution

The fourth proportional to 9,997.80, 13,797.08 and 5,521.47 is: 7,619.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,997.80 : 13,797.08 = 5,521.47 : x
  2. Step 2: Convert to fraction form
    9,997.80/13,797.08 = 5,521.47/x
  3. Step 3: Cross multiply
    9,997.80x = 13,797.08 × 5,521.47
  4. Step 4: Simplify right side
    9,997.80x = 76,180,135.70
  5. Step 5: Solve for x
    x = 76,180,135.70/9,997.80
  6. Step 6: Final answer
    x = 7,619.69

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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.