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Finding the Fourth Proportional to 7,670.46, 11,504 and 2,740.44

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Solution

The fourth proportional to 7,670.46, 11,504 and 2,740.44 is: 4,110.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,670.46 : 11,504 = 2,740.44 : x
  2. Step 2: Convert to fraction form
    7,670.46/11,504 = 2,740.44/x
  3. Step 3: Cross multiply
    7,670.46x = 11,504 × 2,740.44
  4. Step 4: Simplify right side
    7,670.46x = 31,526,021.76
  5. Step 5: Solve for x
    x = 31,526,021.76/7,670.46
  6. Step 6: Final answer
    x = 4,110.06

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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.