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Finding the Fourth Proportional to 11,447.82, 15,798.27 and 6,413.06

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Solution

The fourth proportional to 11,447.82, 15,798.27 and 6,413.06 is: 8,850.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,447.82 : 15,798.27 = 6,413.06 : x
  2. Step 2: Convert to fraction form
    11,447.82/15,798.27 = 6,413.06/x
  3. Step 3: Cross multiply
    11,447.82x = 15,798.27 × 6,413.06
  4. Step 4: Simplify right side
    11,447.82x = 101,315,174.41
  5. Step 5: Solve for x
    x = 101,315,174.41/11,447.82
  6. Step 6: Final answer
    x = 8,850.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.