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Finding the Fourth Proportional to 10,908.68, 16,344.52 and 6,738.32

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Solution

The fourth proportional to 10,908.68, 16,344.52 and 6,738.32 is: 10,096.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,908.68 : 16,344.52 = 6,738.32 : x
  2. Step 2: Convert to fraction form
    10,908.68/16,344.52 = 6,738.32/x
  3. Step 3: Cross multiply
    10,908.68x = 16,344.52 × 6,738.32
  4. Step 4: Simplify right side
    10,908.68x = 110,134,606.01
  5. Step 5: Solve for x
    x = 110,134,606.01/10,908.68
  6. Step 6: Final answer
    x = 10,096.05

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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.