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Finding the Fourth Proportional to 16,541, 22,826.66 and 9,089

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Solution

The fourth proportional to 16,541, 22,826.66 and 9,089 is: 12,542.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,541 : 22,826.66 = 9,089 : x
  2. Step 2: Convert to fraction form
    16,541/22,826.66 = 9,089/x
  3. Step 3: Cross multiply
    16,541x = 22,826.66 × 9,089
  4. Step 4: Simplify right side
    16,541x = 207,471,512.74
  5. Step 5: Solve for x
    x = 207,471,512.74/16,541
  6. Step 6: Final answer
    x = 12,542.86

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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.