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Finding the Fourth Proportional to 9,906.75, 14,849.65 and 3,662.75

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Solution

The fourth proportional to 9,906.75, 14,849.65 and 3,662.75 is: 5,490.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906.75 : 14,849.65 = 3,662.75 : x
  2. Step 2: Convert to fraction form
    9,906.75/14,849.65 = 3,662.75/x
  3. Step 3: Cross multiply
    9,906.75x = 14,849.65 × 3,662.75
  4. Step 4: Simplify right side
    9,906.75x = 54,390,597.24
  5. Step 5: Solve for x
    x = 54,390,597.24/9,906.75
  6. Step 6: Final answer
    x = 5,490.26

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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.