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Finding the Fourth Proportional to 6,644.92, 9,173.10 and 3,849.88

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Solution

The fourth proportional to 6,644.92, 9,173.10 and 3,849.88 is: 5,314.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,644.92 : 9,173.10 = 3,849.88 : x
  2. Step 2: Convert to fraction form
    6,644.92/9,173.10 = 3,849.88/x
  3. Step 3: Cross multiply
    6,644.92x = 9,173.10 × 3,849.88
  4. Step 4: Simplify right side
    6,644.92x = 35,315,334.23
  5. Step 5: Solve for x
    x = 35,315,334.23/6,644.92
  6. Step 6: Final answer
    x = 5,314.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.