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Finding the Fourth Proportional to 23,642.10, 35,465.43 and 7,843.80

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Solution

The fourth proportional to 23,642.10, 35,465.43 and 7,843.80 is: 11,766.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,642.10 : 35,465.43 = 7,843.80 : x
  2. Step 2: Convert to fraction form
    23,642.10/35,465.43 = 7,843.80/x
  3. Step 3: Cross multiply
    23,642.10x = 35,465.43 × 7,843.80
  4. Step 4: Simplify right side
    23,642.10x = 278,183,739.83
  5. Step 5: Solve for x
    x = 278,183,739.83/23,642.10
  6. Step 6: Final answer
    x = 11,766.46

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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.