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Finding the Fourth Proportional to 17,371, 23,971.98 and 9,413.16

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Solution

The fourth proportional to 17,371, 23,971.98 and 9,413.16 is: 12,990.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,371 : 23,971.98 = 9,413.16 : x
  2. Step 2: Convert to fraction form
    17,371/23,971.98 = 9,413.16/x
  3. Step 3: Cross multiply
    17,371x = 23,971.98 × 9,413.16
  4. Step 4: Simplify right side
    17,371x = 225,652,083.26
  5. Step 5: Solve for x
    x = 225,652,083.26/17,371
  6. Step 6: Final answer
    x = 12,990.16

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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.