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Finding the Fourth Proportional to 7,297.92, 10,946.94 and 3,137.64

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Solution

The fourth proportional to 7,297.92, 10,946.94 and 3,137.64 is: 4,706.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,297.92 : 10,946.94 = 3,137.64 : x
  2. Step 2: Convert to fraction form
    7,297.92/10,946.94 = 3,137.64/x
  3. Step 3: Cross multiply
    7,297.92x = 10,946.94 × 3,137.64
  4. Step 4: Simplify right side
    7,297.92x = 34,347,556.82
  5. Step 5: Solve for x
    x = 34,347,556.82/7,297.92
  6. Step 6: Final answer
    x = 4,706.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.