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Finding the Fourth Proportional to 9,413.74, 14,175.62 and 6,965.78

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Solution

The fourth proportional to 9,413.74, 14,175.62 and 6,965.78 is: 10,489.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,413.74 : 14,175.62 = 6,965.78 : x
  2. Step 2: Convert to fraction form
    9,413.74/14,175.62 = 6,965.78/x
  3. Step 3: Cross multiply
    9,413.74x = 14,175.62 × 6,965.78
  4. Step 4: Simplify right side
    9,413.74x = 98,744,250.28
  5. Step 5: Solve for x
    x = 98,744,250.28/9,413.74
  6. Step 6: Final answer
    x = 10,489.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.