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Finding the Fourth Proportional to 16,364.49, 22,581.92 and 9,649.80

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Solution

The fourth proportional to 16,364.49, 22,581.92 and 9,649.80 is: 13,316.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,364.49 : 22,581.92 = 9,649.80 : x
  2. Step 2: Convert to fraction form
    16,364.49/22,581.92 = 9,649.80/x
  3. Step 3: Cross multiply
    16,364.49x = 22,581.92 × 9,649.80
  4. Step 4: Simplify right side
    16,364.49x = 217,910,963.37
  5. Step 5: Solve for x
    x = 217,910,963.37/16,364.49
  6. Step 6: Final answer
    x = 13,316.09

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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.