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Finding the Fourth Proportional to 7,846.70, 11,771.66 and 2,300.22

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Solution

The fourth proportional to 7,846.70, 11,771.66 and 2,300.22 is: 3,450.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.70 : 11,771.66 = 2,300.22 : x
  2. Step 2: Convert to fraction form
    7,846.70/11,771.66 = 2,300.22/x
  3. Step 3: Cross multiply
    7,846.70x = 11,771.66 × 2,300.22
  4. Step 4: Simplify right side
    7,846.70x = 27,077,413.52
  5. Step 5: Solve for x
    x = 27,077,413.52/7,846.70
  6. Step 6: Final answer
    x = 3,450.80

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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.