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Finding the Fourth Proportional to 16,593, 22,898.34 and 9,141.48

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Solution

The fourth proportional to 16,593, 22,898.34 and 9,141.48 is: 12,615.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,593 : 22,898.34 = 9,141.48 : x
  2. Step 2: Convert to fraction form
    16,593/22,898.34 = 9,141.48/x
  3. Step 3: Cross multiply
    16,593x = 22,898.34 × 9,141.48
  4. Step 4: Simplify right side
    16,593x = 209,324,717.14
  5. Step 5: Solve for x
    x = 209,324,717.14/16,593
  6. Step 6: Final answer
    x = 12,615.24

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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.