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Finding the Fourth Proportional to 14,569, 20,105.22 and 7,945

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Solution

The fourth proportional to 14,569, 20,105.22 and 7,945 is: 10,964.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,569 : 20,105.22 = 7,945 : x
  2. Step 2: Convert to fraction form
    14,569/20,105.22 = 7,945/x
  3. Step 3: Cross multiply
    14,569x = 20,105.22 × 7,945
  4. Step 4: Simplify right side
    14,569x = 159,735,972.90
  5. Step 5: Solve for x
    x = 159,735,972.90/14,569
  6. Step 6: Final answer
    x = 10,964.10

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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.