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Finding the Fourth Proportional to 7,146.50, 10,736.21 and 6,851.25

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Solution

The fourth proportional to 7,146.50, 10,736.21 and 6,851.25 is: 10,292.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.50 : 10,736.21 = 6,851.25 : x
  2. Step 2: Convert to fraction form
    7,146.50/10,736.21 = 6,851.25/x
  3. Step 3: Cross multiply
    7,146.50x = 10,736.21 × 6,851.25
  4. Step 4: Simplify right side
    7,146.50x = 73,556,475.89
  5. Step 5: Solve for x
    x = 73,556,475.89/7,146.50
  6. Step 6: Final answer
    x = 10,292.66

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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.