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Finding the Fourth Proportional to 9,606, 14,409.15 and 2,680.50

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Solution

The fourth proportional to 9,606, 14,409.15 and 2,680.50 is: 4,020.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,606 : 14,409.15 = 2,680.50 : x
  2. Step 2: Convert to fraction form
    9,606/14,409.15 = 2,680.50/x
  3. Step 3: Cross multiply
    9,606x = 14,409.15 × 2,680.50
  4. Step 4: Simplify right side
    9,606x = 38,623,726.58
  5. Step 5: Solve for x
    x = 38,623,726.58/9,606
  6. Step 6: Final answer
    x = 4,020.79

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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.