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Finding the Fourth Proportional to 7,969.69, 10,997.20 and 4,384.05

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Solution

The fourth proportional to 7,969.69, 10,997.20 and 4,384.05 is: 6,049.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,969.69 : 10,997.20 = 4,384.05 : x
  2. Step 2: Convert to fraction form
    7,969.69/10,997.20 = 4,384.05/x
  3. Step 3: Cross multiply
    7,969.69x = 10,997.20 × 4,384.05
  4. Step 4: Simplify right side
    7,969.69x = 48,212,274.66
  5. Step 5: Solve for x
    x = 48,212,274.66/7,969.69
  6. Step 6: Final answer
    x = 6,049.45

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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.