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Finding the Fourth Proportional to 26,938.17, 40,413.62 and 8,470.17

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Solution

The fourth proportional to 26,938.17, 40,413.62 and 8,470.17 is: 12,707.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,938.17 : 40,413.62 = 8,470.17 : x
  2. Step 2: Convert to fraction form
    26,938.17/40,413.62 = 8,470.17/x
  3. Step 3: Cross multiply
    26,938.17x = 40,413.62 × 8,470.17
  4. Step 4: Simplify right side
    26,938.17x = 342,310,231.72
  5. Step 5: Solve for x
    x = 342,310,231.72/26,938.17
  6. Step 6: Final answer
    x = 12,707.26

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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.