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Finding the Fourth Proportional to 15,884.91, 23,824.23 and 5,353.89

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Solution

The fourth proportional to 15,884.91, 23,824.23 and 5,353.89 is: 8,029.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,884.91 : 23,824.23 = 5,353.89 : x
  2. Step 2: Convert to fraction form
    15,884.91/23,824.23 = 5,353.89/x
  3. Step 3: Cross multiply
    15,884.91x = 23,824.23 × 5,353.89
  4. Step 4: Simplify right side
    15,884.91x = 127,552,306.75
  5. Step 5: Solve for x
    x = 127,552,306.75/15,884.91
  6. Step 6: Final answer
    x = 8,029.78

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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.