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Finding the Fourth Proportional to 8,821.96, 13,234.10 and 4,662.14

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Solution

The fourth proportional to 8,821.96, 13,234.10 and 4,662.14 is: 6,993.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,821.96 : 13,234.10 = 4,662.14 : x
  2. Step 2: Convert to fraction form
    8,821.96/13,234.10 = 4,662.14/x
  3. Step 3: Cross multiply
    8,821.96x = 13,234.10 × 4,662.14
  4. Step 4: Simplify right side
    8,821.96x = 61,699,137.49
  5. Step 5: Solve for x
    x = 61,699,137.49/8,821.96
  6. Step 6: Final answer
    x = 6,993.81

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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.