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Finding the Fourth Proportional to 7,969.15, 10,997.17 and 4,384.09

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Solution

The fourth proportional to 7,969.15, 10,997.17 and 4,384.09 is: 6,049.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,969.15 : 10,997.17 = 4,384.09 : x
  2. Step 2: Convert to fraction form
    7,969.15/10,997.17 = 4,384.09/x
  3. Step 3: Cross multiply
    7,969.15x = 10,997.17 × 4,384.09
  4. Step 4: Simplify right side
    7,969.15x = 48,212,583.03
  5. Step 5: Solve for x
    x = 48,212,583.03/7,969.15
  6. Step 6: Final answer
    x = 6,049.90

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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.