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Finding the Fourth Proportional to 7,297.67, 10,946.57 and 3,137.39

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Solution

The fourth proportional to 7,297.67, 10,946.57 and 3,137.39 is: 4,706.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,297.67 : 10,946.57 = 3,137.39 : x
  2. Step 2: Convert to fraction form
    7,297.67/10,946.57 = 3,137.39/x
  3. Step 3: Cross multiply
    7,297.67x = 10,946.57 × 3,137.39
  4. Step 4: Simplify right side
    7,297.67x = 34,343,659.25
  5. Step 5: Solve for x
    x = 34,343,659.25/7,297.67
  6. Step 6: Final answer
    x = 4,706.11

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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.