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Finding the Fourth Proportional to 9,876.80, 14,791.20 and 5,249.60

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Solution

The fourth proportional to 9,876.80, 14,791.20 and 5,249.60 is: 7,861.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,876.80 : 14,791.20 = 5,249.60 : x
  2. Step 2: Convert to fraction form
    9,876.80/14,791.20 = 5,249.60/x
  3. Step 3: Cross multiply
    9,876.80x = 14,791.20 × 5,249.60
  4. Step 4: Simplify right side
    9,876.80x = 77,647,883.52
  5. Step 5: Solve for x
    x = 77,647,883.52/9,876.80
  6. Step 6: Final answer
    x = 7,861.64

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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.