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Finding the Fourth Proportional to 9,986.68, 14,980.86 and 3,413.32

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Solution

The fourth proportional to 9,986.68, 14,980.86 and 3,413.32 is: 5,120.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,986.68 : 14,980.86 = 3,413.32 : x
  2. Step 2: Convert to fraction form
    9,986.68/14,980.86 = 3,413.32/x
  3. Step 3: Cross multiply
    9,986.68x = 14,980.86 × 3,413.32
  4. Step 4: Simplify right side
    9,986.68x = 51,134,469.06
  5. Step 5: Solve for x
    x = 51,134,469.06/9,986.68
  6. Step 6: Final answer
    x = 5,120.27

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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.