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Finding the Fourth Proportional to 6,285.54, 9,413.95 and 3,000.95

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Solution

The fourth proportional to 6,285.54, 9,413.95 and 3,000.95 is: 4,494.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,285.54 : 9,413.95 = 3,000.95 : x
  2. Step 2: Convert to fraction form
    6,285.54/9,413.95 = 3,000.95/x
  3. Step 3: Cross multiply
    6,285.54x = 9,413.95 × 3,000.95
  4. Step 4: Simplify right side
    6,285.54x = 28,250,793.25
  5. Step 5: Solve for x
    x = 28,250,793.25/6,285.54
  6. Step 6: Final answer
    x = 4,494.57

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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.