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Finding the Fourth Proportional to 8,546.63, 11,794.95 and 4,770.53

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Solution

The fourth proportional to 8,546.63, 11,794.95 and 4,770.53 is: 6,583.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,546.63 : 11,794.95 = 4,770.53 : x
  2. Step 2: Convert to fraction form
    8,546.63/11,794.95 = 4,770.53/x
  3. Step 3: Cross multiply
    8,546.63x = 11,794.95 × 4,770.53
  4. Step 4: Simplify right side
    8,546.63x = 56,268,183.20
  5. Step 5: Solve for x
    x = 56,268,183.20/8,546.63
  6. Step 6: Final answer
    x = 6,583.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.