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Finding the Fourth Proportional to 9,215, 13,823.22 and 3,059

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Solution

The fourth proportional to 9,215, 13,823.22 and 3,059 is: 4,588.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,215 : 13,823.22 = 3,059 : x
  2. Step 2: Convert to fraction form
    9,215/13,823.22 = 3,059/x
  3. Step 3: Cross multiply
    9,215x = 13,823.22 × 3,059
  4. Step 4: Simplify right side
    9,215x = 42,285,229.98
  5. Step 5: Solve for x
    x = 42,285,229.98/9,215
  6. Step 6: Final answer
    x = 4,588.74

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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.