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Finding the Fourth Proportional to 7,691.44, 11,537.16 and 4,406.62

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Solution

The fourth proportional to 7,691.44, 11,537.16 and 4,406.62 is: 6,609.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,691.44 : 11,537.16 = 4,406.62 : x
  2. Step 2: Convert to fraction form
    7,691.44/11,537.16 = 4,406.62/x
  3. Step 3: Cross multiply
    7,691.44x = 11,537.16 × 4,406.62
  4. Step 4: Simplify right side
    7,691.44x = 50,839,880.00
  5. Step 5: Solve for x
    x = 50,839,880.00/7,691.44
  6. Step 6: Final answer
    x = 6,609.93

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Similar ratio
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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.