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Finding the Fourth Proportional to 16,664, 22,996.82 and 9,110.16

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Solution

The fourth proportional to 16,664, 22,996.82 and 9,110.16 is: 12,572.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,664 : 22,996.82 = 9,110.16 : x
  2. Step 2: Convert to fraction form
    16,664/22,996.82 = 9,110.16/x
  3. Step 3: Cross multiply
    16,664x = 22,996.82 × 9,110.16
  4. Step 4: Simplify right side
    16,664x = 209,504,709.69
  5. Step 5: Solve for x
    x = 209,504,709.69/16,664
  6. Step 6: Final answer
    x = 12,572.29

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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.