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Finding the Fourth Proportional to 22,625.64, 33,929.37 and 6,825.78

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Solution

The fourth proportional to 22,625.64, 33,929.37 and 6,825.78 is: 10,235.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,625.64 : 33,929.37 = 6,825.78 : x
  2. Step 2: Convert to fraction form
    22,625.64/33,929.37 = 6,825.78/x
  3. Step 3: Cross multiply
    22,625.64x = 33,929.37 × 6,825.78
  4. Step 4: Simplify right side
    22,625.64x = 231,594,415.16
  5. Step 5: Solve for x
    x = 231,594,415.16/22,625.64
  6. Step 6: Final answer
    x = 10,235.93

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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.