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Finding the Fourth Proportional to 7,084.75, 10,627 and 2,467.63

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Solution

The fourth proportional to 7,084.75, 10,627 and 2,467.63 is: 3,701.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,084.75 : 10,627 = 2,467.63 : x
  2. Step 2: Convert to fraction form
    7,084.75/10,627 = 2,467.63/x
  3. Step 3: Cross multiply
    7,084.75x = 10,627 × 2,467.63
  4. Step 4: Simplify right side
    7,084.75x = 26,223,504.01
  5. Step 5: Solve for x
    x = 26,223,504.01/7,084.75
  6. Step 6: Final answer
    x = 3,701.40

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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.