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Finding the Fourth Proportional to 10,958, 15,122.06 and 6,773.56

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Solution

The fourth proportional to 10,958, 15,122.06 and 6,773.56 is: 9,347.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,958 : 15,122.06 = 6,773.56 : x
  2. Step 2: Convert to fraction form
    10,958/15,122.06 = 6,773.56/x
  3. Step 3: Cross multiply
    10,958x = 15,122.06 × 6,773.56
  4. Step 4: Simplify right side
    10,958x = 102,430,180.73
  5. Step 5: Solve for x
    x = 102,430,180.73/10,958
  6. Step 6: Final answer
    x = 9,347.53

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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.