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Finding the Fourth Proportional to 7,144.37, 10,733.03 and 6,849.13

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Solution

The fourth proportional to 7,144.37, 10,733.03 and 6,849.13 is: 10,289.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.37 : 10,733.03 = 6,849.13 : x
  2. Step 2: Convert to fraction form
    7,144.37/10,733.03 = 6,849.13/x
  3. Step 3: Cross multiply
    7,144.37x = 10,733.03 × 6,849.13
  4. Step 4: Simplify right side
    7,144.37x = 73,511,883.52
  5. Step 5: Solve for x
    x = 73,511,883.52/7,144.37
  6. Step 6: Final answer
    x = 10,289.48

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1.5x scale

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.