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Finding the Fourth Proportional to 9,847.78, 14,736.97 and 6,151.75

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Solution

The fourth proportional to 9,847.78, 14,736.97 and 6,151.75 is: 9,205.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847.78 : 14,736.97 = 6,151.75 : x
  2. Step 2: Convert to fraction form
    9,847.78/14,736.97 = 6,151.75/x
  3. Step 3: Cross multiply
    9,847.78x = 14,736.97 × 6,151.75
  4. Step 4: Simplify right side
    9,847.78x = 90,658,155.20
  5. Step 5: Solve for x
    x = 90,658,155.20/9,847.78
  6. Step 6: Final answer
    x = 9,205.95

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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.