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Finding the Fourth Proportional to 10,808.70, 16,212.24 and 3,413.40

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Solution

The fourth proportional to 10,808.70, 16,212.24 and 3,413.40 is: 5,119.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,808.70 : 16,212.24 = 3,413.40 : x
  2. Step 2: Convert to fraction form
    10,808.70/16,212.24 = 3,413.40/x
  3. Step 3: Cross multiply
    10,808.70x = 16,212.24 × 3,413.40
  4. Step 4: Simplify right side
    10,808.70x = 55,338,860.02
  5. Step 5: Solve for x
    x = 55,338,860.02/10,808.70
  6. Step 6: Final answer
    x = 5,119.84

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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.