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Finding the Fourth Proportional to 10,673, 14,729.14 and 5,958.19

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Solution

The fourth proportional to 10,673, 14,729.14 and 5,958.19 is: 8,222.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,673 : 14,729.14 = 5,958.19 : x
  2. Step 2: Convert to fraction form
    10,673/14,729.14 = 5,958.19/x
  3. Step 3: Cross multiply
    10,673x = 14,729.14 × 5,958.19
  4. Step 4: Simplify right side
    10,673x = 87,759,014.66
  5. Step 5: Solve for x
    x = 87,759,014.66/10,673
  6. Step 6: Final answer
    x = 8,222.53

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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.