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Finding the Fourth Proportional to 8,574.14, 12,861.20 and 3,895.78

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Solution

The fourth proportional to 8,574.14, 12,861.20 and 3,895.78 is: 5,843.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,574.14 : 12,861.20 = 3,895.78 : x
  2. Step 2: Convert to fraction form
    8,574.14/12,861.20 = 3,895.78/x
  3. Step 3: Cross multiply
    8,574.14x = 12,861.20 × 3,895.78
  4. Step 4: Simplify right side
    8,574.14x = 50,104,405.74
  5. Step 5: Solve for x
    x = 50,104,405.74/8,574.14
  6. Step 6: Final answer
    x = 5,843.67

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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.