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Finding the Fourth Proportional to 5,162.46, 7,704.68 and 4,664.24

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Solution

The fourth proportional to 5,162.46, 7,704.68 and 4,664.24 is: 6,961.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,162.46 : 7,704.68 = 4,664.24 : x
  2. Step 2: Convert to fraction form
    5,162.46/7,704.68 = 4,664.24/x
  3. Step 3: Cross multiply
    5,162.46x = 7,704.68 × 4,664.24
  4. Step 4: Simplify right side
    5,162.46x = 35,936,476.64
  5. Step 5: Solve for x
    x = 35,936,476.64/5,162.46
  6. Step 6: Final answer
    x = 6,961.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.