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Finding the Fourth Proportional to 6,287.86, 9,413.97 and 5,225.14

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Solution

The fourth proportional to 6,287.86, 9,413.97 and 5,225.14 is: 7,822.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,287.86 : 9,413.97 = 5,225.14 : x
  2. Step 2: Convert to fraction form
    6,287.86/9,413.97 = 5,225.14/x
  3. Step 3: Cross multiply
    6,287.86x = 9,413.97 × 5,225.14
  4. Step 4: Simplify right side
    6,287.86x = 49,189,311.21
  5. Step 5: Solve for x
    x = 49,189,311.21/6,287.86
  6. Step 6: Final answer
    x = 7,822.90

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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.