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Finding the Fourth Proportional to 16,285, 24,413.90 and 6,932.36

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Solution

The fourth proportional to 16,285, 24,413.90 and 6,932.36 is: 10,392.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,285 : 24,413.90 = 6,932.36 : x
  2. Step 2: Convert to fraction form
    16,285/24,413.90 = 6,932.36/x
  3. Step 3: Cross multiply
    16,285x = 24,413.90 × 6,932.36
  4. Step 4: Simplify right side
    16,285x = 169,245,943.80
  5. Step 5: Solve for x
    x = 169,245,943.80/16,285
  6. Step 6: Final answer
    x = 10,392.75

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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.