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Finding the Fourth Proportional to 8,949.84, 13,424.76 and 2,709.78

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Solution

The fourth proportional to 8,949.84, 13,424.76 and 2,709.78 is: 4,064.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,949.84 : 13,424.76 = 2,709.78 : x
  2. Step 2: Convert to fraction form
    8,949.84/13,424.76 = 2,709.78/x
  3. Step 3: Cross multiply
    8,949.84x = 13,424.76 × 2,709.78
  4. Step 4: Simplify right side
    8,949.84x = 36,378,146.15
  5. Step 5: Solve for x
    x = 36,378,146.15/8,949.84
  6. Step 6: Final answer
    x = 4,064.67

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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.