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Finding the Fourth Proportional to 13,792.50, 19,028.52 and 8,413.07

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Solution

The fourth proportional to 13,792.50, 19,028.52 and 8,413.07 is: 11,606.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,792.50 : 19,028.52 = 8,413.07 : x
  2. Step 2: Convert to fraction form
    13,792.50/19,028.52 = 8,413.07/x
  3. Step 3: Cross multiply
    13,792.50x = 19,028.52 × 8,413.07
  4. Step 4: Simplify right side
    13,792.50x = 160,088,175.61
  5. Step 5: Solve for x
    x = 160,088,175.61/13,792.50
  6. Step 6: Final answer
    x = 11,606.90

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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.