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Finding the Fourth Proportional to 6,964.61, 10,447.49 and 1,770.48

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Solution

The fourth proportional to 6,964.61, 10,447.49 and 1,770.48 is: 2,655.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,964.61 : 10,447.49 = 1,770.48 : x
  2. Step 2: Convert to fraction form
    6,964.61/10,447.49 = 1,770.48/x
  3. Step 3: Cross multiply
    6,964.61x = 10,447.49 × 1,770.48
  4. Step 4: Simplify right side
    6,964.61x = 18,497,076.52
  5. Step 5: Solve for x
    x = 18,497,076.52/6,964.61
  6. Step 6: Final answer
    x = 2,655.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.