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Finding the Fourth Proportional to 11,149.92, 16,700.94 and 9,032.22

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Solution

The fourth proportional to 11,149.92, 16,700.94 and 9,032.22 is: 13,528.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,149.92 : 16,700.94 = 9,032.22 : x
  2. Step 2: Convert to fraction form
    11,149.92/16,700.94 = 9,032.22/x
  3. Step 3: Cross multiply
    11,149.92x = 16,700.94 × 9,032.22
  4. Step 4: Simplify right side
    11,149.92x = 150,846,564.29
  5. Step 5: Solve for x
    x = 150,846,564.29/11,149.92
  6. Step 6: Final answer
    x = 13,528.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.