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Finding the Fourth Proportional to 4,696.63, 6,479.88 and 2,706.91

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Solution

The fourth proportional to 4,696.63, 6,479.88 and 2,706.91 is: 3,734.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.63 : 6,479.88 = 2,706.91 : x
  2. Step 2: Convert to fraction form
    4,696.63/6,479.88 = 2,706.91/x
  3. Step 3: Cross multiply
    4,696.63x = 6,479.88 × 2,706.91
  4. Step 4: Simplify right side
    4,696.63x = 17,540,449.92
  5. Step 5: Solve for x
    x = 17,540,449.92/4,696.63
  6. Step 6: Final answer
    x = 3,734.69

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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.