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Finding the Fourth Proportional to 23,471.85, 35,204.09 and 7,676.75

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Solution

The fourth proportional to 23,471.85, 35,204.09 and 7,676.75 is: 11,513.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,471.85 : 35,204.09 = 7,676.75 : x
  2. Step 2: Convert to fraction form
    23,471.85/35,204.09 = 7,676.75/x
  3. Step 3: Cross multiply
    23,471.85x = 35,204.09 × 7,676.75
  4. Step 4: Simplify right side
    23,471.85x = 270,253,105.11
  5. Step 5: Solve for x
    x = 270,253,105.11/23,471.85
  6. Step 6: Final answer
    x = 11,513.92

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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.