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Finding the Fourth Proportional to 9,797.03, 13,517.79 and 5,819.48

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Solution

The fourth proportional to 9,797.03, 13,517.79 and 5,819.48 is: 8,029.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.03 : 13,517.79 = 5,819.48 : x
  2. Step 2: Convert to fraction form
    9,797.03/13,517.79 = 5,819.48/x
  3. Step 3: Cross multiply
    9,797.03x = 13,517.79 × 5,819.48
  4. Step 4: Simplify right side
    9,797.03x = 78,666,508.55
  5. Step 5: Solve for x
    x = 78,666,508.55/9,797.03
  6. Step 6: Final answer
    x = 8,029.63

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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.