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Finding the Fourth Proportional to 6,163.84, 9,245.76 and 1,546.88

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Solution

The fourth proportional to 6,163.84, 9,245.76 and 1,546.88 is: 2,320.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,163.84 : 9,245.76 = 1,546.88 : x
  2. Step 2: Convert to fraction form
    6,163.84/9,245.76 = 1,546.88/x
  3. Step 3: Cross multiply
    6,163.84x = 9,245.76 × 1,546.88
  4. Step 4: Simplify right side
    6,163.84x = 14,302,081.23
  5. Step 5: Solve for x
    x = 14,302,081.23/6,163.84
  6. Step 6: Final answer
    x = 2,320.32

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Similar ratio
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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.