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Finding the Fourth Proportional to 7,662.96, 11,494.20 and 2,116.64

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Solution

The fourth proportional to 7,662.96, 11,494.20 and 2,116.64 is: 3,174.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,662.96 : 11,494.20 = 2,116.64 : x
  2. Step 2: Convert to fraction form
    7,662.96/11,494.20 = 2,116.64/x
  3. Step 3: Cross multiply
    7,662.96x = 11,494.20 × 2,116.64
  4. Step 4: Simplify right side
    7,662.96x = 24,329,083.49
  5. Step 5: Solve for x
    x = 24,329,083.49/7,662.96
  6. Step 6: Final answer
    x = 3,174.89

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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.