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Finding the Fourth Proportional to 6,706.76, 9,255.15 and 3,722.49

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Solution

The fourth proportional to 6,706.76, 9,255.15 and 3,722.49 is: 5,136.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.76 : 9,255.15 = 3,722.49 : x
  2. Step 2: Convert to fraction form
    6,706.76/9,255.15 = 3,722.49/x
  3. Step 3: Cross multiply
    6,706.76x = 9,255.15 × 3,722.49
  4. Step 4: Simplify right side
    6,706.76x = 34,452,203.32
  5. Step 5: Solve for x
    x = 34,452,203.32/6,706.76
  6. Step 6: Final answer
    x = 5,136.94

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Double scale
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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.