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Finding the Fourth Proportional to 22,966, 34,444.47 and 6,321.76

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Solution

The fourth proportional to 22,966, 34,444.47 and 6,321.76 is: 9,481.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,966 : 34,444.47 = 6,321.76 : x
  2. Step 2: Convert to fraction form
    22,966/34,444.47 = 6,321.76/x
  3. Step 3: Cross multiply
    22,966x = 34,444.47 × 6,321.76
  4. Step 4: Simplify right side
    22,966x = 217,749,672.67
  5. Step 5: Solve for x
    x = 217,749,672.67/22,966
  6. Step 6: Final answer
    x = 9,481.39

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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.