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Finding the Fourth Proportional to 23,858.92, 35,786.94 and 7,218.64

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Solution

The fourth proportional to 23,858.92, 35,786.94 and 7,218.64 is: 10,827.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,858.92 : 35,786.94 = 7,218.64 : x
  2. Step 2: Convert to fraction form
    23,858.92/35,786.94 = 7,218.64/x
  3. Step 3: Cross multiply
    23,858.92x = 35,786.94 × 7,218.64
  4. Step 4: Simplify right side
    23,858.92x = 258,333,036.56
  5. Step 5: Solve for x
    x = 258,333,036.56/23,858.92
  6. Step 6: Final answer
    x = 10,827.52

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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.