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Finding the Fourth Proportional to 6,500.56, 9,738.60 and 3,209.80

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Solution

The fourth proportional to 6,500.56, 9,738.60 and 3,209.80 is: 4,808.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.56 : 9,738.60 = 3,209.80 : x
  2. Step 2: Convert to fraction form
    6,500.56/9,738.60 = 3,209.80/x
  3. Step 3: Cross multiply
    6,500.56x = 9,738.60 × 3,209.80
  4. Step 4: Simplify right side
    6,500.56x = 31,258,958.28
  5. Step 5: Solve for x
    x = 31,258,958.28/6,500.56
  6. Step 6: Final answer
    x = 4,808.66

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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.