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Finding the Fourth Proportional to 16,183.24, 22,335 and 9,111.04

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Solution

The fourth proportional to 16,183.24, 22,335 and 9,111.04 is: 12,574.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,183.24 : 22,335 = 9,111.04 : x
  2. Step 2: Convert to fraction form
    16,183.24/22,335 = 9,111.04/x
  3. Step 3: Cross multiply
    16,183.24x = 22,335 × 9,111.04
  4. Step 4: Simplify right side
    16,183.24x = 203,495,078.40
  5. Step 5: Solve for x
    x = 203,495,078.40/16,183.24
  6. Step 6: Final answer
    x = 12,574.43

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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.