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Finding the Fourth Proportional to 9,794.84, 14,692.05 and 8,152.56

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Solution

The fourth proportional to 9,794.84, 14,692.05 and 8,152.56 is: 12,228.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.84 : 14,692.05 = 8,152.56 : x
  2. Step 2: Convert to fraction form
    9,794.84/14,692.05 = 8,152.56/x
  3. Step 3: Cross multiply
    9,794.84x = 14,692.05 × 8,152.56
  4. Step 4: Simplify right side
    9,794.84x = 119,777,819.15
  5. Step 5: Solve for x
    x = 119,777,819.15/9,794.84
  6. Step 6: Final answer
    x = 12,228.67

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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.