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Finding the Fourth Proportional to 7,674.70, 11,510.38 and 2,744.68

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Solution

The fourth proportional to 7,674.70, 11,510.38 and 2,744.68 is: 4,116.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674.70 : 11,510.38 = 2,744.68 : x
  2. Step 2: Convert to fraction form
    7,674.70/11,510.38 = 2,744.68/x
  3. Step 3: Cross multiply
    7,674.70x = 11,510.38 × 2,744.68
  4. Step 4: Simplify right side
    7,674.70x = 31,592,309.78
  5. Step 5: Solve for x
    x = 31,592,309.78/7,674.70
  6. Step 6: Final answer
    x = 4,116.42

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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.