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Finding the Fourth Proportional to 4,946.72, 7,413.62 and 3,772.42

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Solution

The fourth proportional to 4,946.72, 7,413.62 and 3,772.42 is: 5,653.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,946.72 : 7,413.62 = 3,772.42 : x
  2. Step 2: Convert to fraction form
    4,946.72/7,413.62 = 3,772.42/x
  3. Step 3: Cross multiply
    4,946.72x = 7,413.62 × 3,772.42
  4. Step 4: Simplify right side
    4,946.72x = 27,967,260.23
  5. Step 5: Solve for x
    x = 27,967,260.23/4,946.72
  6. Step 6: Final answer
    x = 5,653.70

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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.