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Finding the Fourth Proportional to 16,222.73, 24,338.07 and 6,865.07

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Solution

The fourth proportional to 16,222.73, 24,338.07 and 6,865.07 is: 10,299.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,222.73 : 24,338.07 = 6,865.07 : x
  2. Step 2: Convert to fraction form
    16,222.73/24,338.07 = 6,865.07/x
  3. Step 3: Cross multiply
    16,222.73x = 24,338.07 × 6,865.07
  4. Step 4: Simplify right side
    16,222.73x = 167,082,432.52
  5. Step 5: Solve for x
    x = 167,082,432.52/16,222.73
  6. Step 6: Final answer
    x = 10,299.28

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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.