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Finding the Fourth Proportional to 16,533, 22,817.07 and 9,082.44

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Solution

The fourth proportional to 16,533, 22,817.07 and 9,082.44 is: 12,534.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,533 : 22,817.07 = 9,082.44 : x
  2. Step 2: Convert to fraction form
    16,533/22,817.07 = 9,082.44/x
  3. Step 3: Cross multiply
    16,533x = 22,817.07 × 9,082.44
  4. Step 4: Simplify right side
    16,533x = 207,234,669.25
  5. Step 5: Solve for x
    x = 207,234,669.25/16,533
  6. Step 6: Final answer
    x = 12,534.61

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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.