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Finding the Fourth Proportional to 9,794.43, 14,677.06 and 5,413.14

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Solution

The fourth proportional to 9,794.43, 14,677.06 and 5,413.14 is: 8,111.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.43 : 14,677.06 = 5,413.14 : x
  2. Step 2: Convert to fraction form
    9,794.43/14,677.06 = 5,413.14/x
  3. Step 3: Cross multiply
    9,794.43x = 14,677.06 × 5,413.14
  4. Step 4: Simplify right side
    9,794.43x = 79,448,980.57
  5. Step 5: Solve for x
    x = 79,448,980.57/9,794.43
  6. Step 6: Final answer
    x = 8,111.65

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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.