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Finding the Fourth Proportional to 7,297.82, 10,946.97 and 2,367.50

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Solution

The fourth proportional to 7,297.82, 10,946.97 and 2,367.50 is: 3,551.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,297.82 : 10,946.97 = 2,367.50 : x
  2. Step 2: Convert to fraction form
    7,297.82/10,946.97 = 2,367.50/x
  3. Step 3: Cross multiply
    7,297.82x = 10,946.97 × 2,367.50
  4. Step 4: Simplify right side
    7,297.82x = 25,916,951.48
  5. Step 5: Solve for x
    x = 25,916,951.48/7,297.82
  6. Step 6: Final answer
    x = 3,551.33

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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.