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Finding the Fourth Proportional to 10,728.56, 16,099.32 and 6,834.32

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Solution

The fourth proportional to 10,728.56, 16,099.32 and 6,834.32 is: 10,255.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,728.56 : 16,099.32 = 6,834.32 : x
  2. Step 2: Convert to fraction form
    10,728.56/16,099.32 = 6,834.32/x
  3. Step 3: Cross multiply
    10,728.56x = 16,099.32 × 6,834.32
  4. Step 4: Simplify right side
    10,728.56x = 110,027,904.66
  5. Step 5: Solve for x
    x = 110,027,904.66/10,728.56
  6. Step 6: Final answer
    x = 10,255.61

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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.