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Finding the Fourth Proportional to 6,510.06, 9,769.93 and 3,738.06

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Solution

The fourth proportional to 6,510.06, 9,769.93 and 3,738.06 is: 5,609.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,510.06 : 9,769.93 = 3,738.06 : x
  2. Step 2: Convert to fraction form
    6,510.06/9,769.93 = 3,738.06/x
  3. Step 3: Cross multiply
    6,510.06x = 9,769.93 × 3,738.06
  4. Step 4: Simplify right side
    6,510.06x = 36,520,584.54
  5. Step 5: Solve for x
    x = 36,520,584.54/6,510.06
  6. Step 6: Final answer
    x = 5,609.87

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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.