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Finding the Fourth Proportional to 30,626.75, 45,940.13 and 9,850.25

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Solution

The fourth proportional to 30,626.75, 45,940.13 and 9,850.25 is: 14,775.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,626.75 : 45,940.13 = 9,850.25 : x
  2. Step 2: Convert to fraction form
    30,626.75/45,940.13 = 9,850.25/x
  3. Step 3: Cross multiply
    30,626.75x = 45,940.13 × 9,850.25
  4. Step 4: Simplify right side
    30,626.75x = 452,521,716.28
  5. Step 5: Solve for x
    x = 452,521,716.28/30,626.75
  6. Step 6: Final answer
    x = 14,775.38

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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.