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Finding the Fourth Proportional to 8,497.98, 12,740.49 and 5,413.50

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Solution

The fourth proportional to 8,497.98, 12,740.49 and 5,413.50 is: 8,116.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,497.98 : 12,740.49 = 5,413.50 : x
  2. Step 2: Convert to fraction form
    8,497.98/12,740.49 = 5,413.50/x
  3. Step 3: Cross multiply
    8,497.98x = 12,740.49 × 5,413.50
  4. Step 4: Simplify right side
    8,497.98x = 68,970,642.62
  5. Step 5: Solve for x
    x = 68,970,642.62/8,497.98
  6. Step 6: Final answer
    x = 8,116.12

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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.