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Finding the Fourth Proportional to 6,413.73, 9,623.64 and 4,442.39

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Solution

The fourth proportional to 6,413.73, 9,623.64 and 4,442.39 is: 6,665.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.73 : 9,623.64 = 4,442.39 : x
  2. Step 2: Convert to fraction form
    6,413.73/9,623.64 = 4,442.39/x
  3. Step 3: Cross multiply
    6,413.73x = 9,623.64 × 4,442.39
  4. Step 4: Simplify right side
    6,413.73x = 42,752,020.86
  5. Step 5: Solve for x
    x = 42,752,020.86/6,413.73
  6. Step 6: Final answer
    x = 6,665.70

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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.