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Finding the Fourth Proportional to 23,877.56, 35,815.52 and 8,294.78

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Solution

The fourth proportional to 23,877.56, 35,815.52 and 8,294.78 is: 12,441.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,877.56 : 35,815.52 = 8,294.78 : x
  2. Step 2: Convert to fraction form
    23,877.56/35,815.52 = 8,294.78/x
  3. Step 3: Cross multiply
    23,877.56x = 35,815.52 × 8,294.78
  4. Step 4: Simplify right side
    23,877.56x = 297,081,858.99
  5. Step 5: Solve for x
    x = 297,081,858.99/23,877.56
  6. Step 6: Final answer
    x = 12,441.89

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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.