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Finding the Fourth Proportional to 7,177, 10,769.82 and 3,073

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Solution

The fourth proportional to 7,177, 10,769.82 and 3,073 is: 4,611.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,177 : 10,769.82 = 3,073 : x
  2. Step 2: Convert to fraction form
    7,177/10,769.82 = 3,073/x
  3. Step 3: Cross multiply
    7,177x = 10,769.82 × 3,073
  4. Step 4: Simplify right side
    7,177x = 33,095,656.86
  5. Step 5: Solve for x
    x = 33,095,656.86/7,177
  6. Step 6: Final answer
    x = 4,611.35

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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.