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Finding the Fourth Proportional to 8,814.71, 12,165.49 and 5,413.74

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Solution

The fourth proportional to 8,814.71, 12,165.49 and 5,413.74 is: 7,471.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,814.71 : 12,165.49 = 5,413.74 : x
  2. Step 2: Convert to fraction form
    8,814.71/12,165.49 = 5,413.74/x
  3. Step 3: Cross multiply
    8,814.71x = 12,165.49 × 5,413.74
  4. Step 4: Simplify right side
    8,814.71x = 65,860,760.98
  5. Step 5: Solve for x
    x = 65,860,760.98/8,814.71
  6. Step 6: Final answer
    x = 7,471.69

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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.