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Finding the Fourth Proportional to 6,680.25, 10,020.51 and 2,063.25

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Solution

The fourth proportional to 6,680.25, 10,020.51 and 2,063.25 is: 3,094.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,680.25 : 10,020.51 = 2,063.25 : x
  2. Step 2: Convert to fraction form
    6,680.25/10,020.51 = 2,063.25/x
  3. Step 3: Cross multiply
    6,680.25x = 10,020.51 × 2,063.25
  4. Step 4: Simplify right side
    6,680.25x = 20,674,817.26
  5. Step 5: Solve for x
    x = 20,674,817.26/6,680.25
  6. Step 6: Final answer
    x = 3,094.92

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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.