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Finding the Fourth Proportional to 9,251, 13,879.74 and 6,896.60

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Solution

The fourth proportional to 9,251, 13,879.74 and 6,896.60 is: 10,347.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,251 : 13,879.74 = 6,896.60 : x
  2. Step 2: Convert to fraction form
    9,251/13,879.74 = 6,896.60/x
  3. Step 3: Cross multiply
    9,251x = 13,879.74 × 6,896.60
  4. Step 4: Simplify right side
    9,251x = 95,723,014.88
  5. Step 5: Solve for x
    x = 95,723,014.88/9,251
  6. Step 6: Final answer
    x = 10,347.32

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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.