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Finding the Fourth Proportional to 6,706.92, 9,255.48 and 3,722.76

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Solution

The fourth proportional to 6,706.92, 9,255.48 and 3,722.76 is: 5,137.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.92 : 9,255.48 = 3,722.76 : x
  2. Step 2: Convert to fraction form
    6,706.92/9,255.48 = 3,722.76/x
  3. Step 3: Cross multiply
    6,706.92x = 9,255.48 × 3,722.76
  4. Step 4: Simplify right side
    6,706.92x = 34,455,930.72
  5. Step 5: Solve for x
    x = 34,455,930.72/6,706.92
  6. Step 6: Final answer
    x = 5,137.37

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Half scale
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Double scale
Find fourth proportional to 6,707.92, 9,256.86 and 3,723.76
Similar ratio
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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.