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Finding the Fourth Proportional to 7,676.68, 11,512.20 and 2,744.98

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Solution

The fourth proportional to 7,676.68, 11,512.20 and 2,744.98 is: 4,116.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,676.68 : 11,512.20 = 2,744.98 : x
  2. Step 2: Convert to fraction form
    7,676.68/11,512.20 = 2,744.98/x
  3. Step 3: Cross multiply
    7,676.68x = 11,512.20 × 2,744.98
  4. Step 4: Simplify right side
    7,676.68x = 31,600,758.76
  5. Step 5: Solve for x
    x = 31,600,758.76/7,676.68
  6. Step 6: Final answer
    x = 4,116.46

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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.