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Finding the Fourth Proportional to 23,223, 34,834.43 and 6,583.17

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Solution

The fourth proportional to 23,223, 34,834.43 and 6,583.17 is: 9,874.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,223 : 34,834.43 = 6,583.17 : x
  2. Step 2: Convert to fraction form
    23,223/34,834.43 = 6,583.17/x
  3. Step 3: Cross multiply
    23,223x = 34,834.43 × 6,583.17
  4. Step 4: Simplify right side
    23,223x = 229,320,974.54
  5. Step 5: Solve for x
    x = 229,320,974.54/23,223
  6. Step 6: Final answer
    x = 9,874.74

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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.