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Finding the Fourth Proportional to 7,674.46, 11,510 and 2,744.44

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Solution

The fourth proportional to 7,674.46, 11,510 and 2,744.44 is: 4,116.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674.46 : 11,510 = 2,744.44 : x
  2. Step 2: Convert to fraction form
    7,674.46/11,510 = 2,744.44/x
  3. Step 3: Cross multiply
    7,674.46x = 11,510 × 2,744.44
  4. Step 4: Simplify right side
    7,674.46x = 31,588,504.40
  5. Step 5: Solve for x
    x = 31,588,504.40/7,674.46
  6. Step 6: Final answer
    x = 4,116.06

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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.