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Finding the Fourth Proportional to 23,846.26, 35,769.38 and 7,430.26

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Solution

The fourth proportional to 23,846.26, 35,769.38 and 7,430.26 is: 11,145.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,846.26 : 35,769.38 = 7,430.26 : x
  2. Step 2: Convert to fraction form
    23,846.26/35,769.38 = 7,430.26/x
  3. Step 3: Cross multiply
    23,846.26x = 35,769.38 × 7,430.26
  4. Step 4: Simplify right side
    23,846.26x = 265,775,793.44
  5. Step 5: Solve for x
    x = 265,775,793.44/23,846.26
  6. Step 6: Final answer
    x = 11,145.39

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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.