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Finding the Fourth Proportional to 6,537.35, 9,806.54 and 3,922.67

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Solution

The fourth proportional to 6,537.35, 9,806.54 and 3,922.67 is: 5,884.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537.35 : 9,806.54 = 3,922.67 : x
  2. Step 2: Convert to fraction form
    6,537.35/9,806.54 = 3,922.67/x
  3. Step 3: Cross multiply
    6,537.35x = 9,806.54 × 3,922.67
  4. Step 4: Simplify right side
    6,537.35x = 38,467,825.16
  5. Step 5: Solve for x
    x = 38,467,825.16/6,537.35
  6. Step 6: Final answer
    x = 5,884.31

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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.