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Finding the Fourth Proportional to 9,995.72, 13,794 and 5,519.46

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Solution

The fourth proportional to 9,995.72, 13,794 and 5,519.46 is: 7,616.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,995.72 : 13,794 = 5,519.46 : x
  2. Step 2: Convert to fraction form
    9,995.72/13,794 = 5,519.46/x
  3. Step 3: Cross multiply
    9,995.72x = 13,794 × 5,519.46
  4. Step 4: Simplify right side
    9,995.72x = 76,135,431.24
  5. Step 5: Solve for x
    x = 76,135,431.24/9,995.72
  6. Step 6: Final answer
    x = 7,616.80

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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.