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Finding the Fourth Proportional to 6,964.96, 10,447.98 and 3,016.48

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Solution

The fourth proportional to 6,964.96, 10,447.98 and 3,016.48 is: 4,524.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,964.96 : 10,447.98 = 3,016.48 : x
  2. Step 2: Convert to fraction form
    6,964.96/10,447.98 = 3,016.48/x
  3. Step 3: Cross multiply
    6,964.96x = 10,447.98 × 3,016.48
  4. Step 4: Simplify right side
    6,964.96x = 31,516,122.71
  5. Step 5: Solve for x
    x = 31,516,122.71/6,964.96
  6. Step 6: Final answer
    x = 4,524.95

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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.