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Finding the Fourth Proportional to 4,944.74, 6,823.74 and 2,706.62

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Solution

The fourth proportional to 4,944.74, 6,823.74 and 2,706.62 is: 3,735.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,944.74 : 6,823.74 = 2,706.62 : x
  2. Step 2: Convert to fraction form
    4,944.74/6,823.74 = 2,706.62/x
  3. Step 3: Cross multiply
    4,944.74x = 6,823.74 × 2,706.62
  4. Step 4: Simplify right side
    4,944.74x = 18,469,271.16
  5. Step 5: Solve for x
    x = 18,469,271.16/4,944.74
  6. Step 6: Final answer
    x = 3,735.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.