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Finding the Fourth Proportional to 9,906.54, 14,859.30 and 2,511.12

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Solution

The fourth proportional to 9,906.54, 14,859.30 and 2,511.12 is: 3,766.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906.54 : 14,859.30 = 2,511.12 : x
  2. Step 2: Convert to fraction form
    9,906.54/14,859.30 = 2,511.12/x
  3. Step 3: Cross multiply
    9,906.54x = 14,859.30 × 2,511.12
  4. Step 4: Simplify right side
    9,906.54x = 37,313,485.42
  5. Step 5: Solve for x
    x = 37,313,485.42/9,906.54
  6. Step 6: Final answer
    x = 3,766.55

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1.5x scale

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.