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Finding the Fourth Proportional to 4,966.76, 7,450.14 and 1,847.55

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Solution

The fourth proportional to 4,966.76, 7,450.14 and 1,847.55 is: 2,771.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,966.76 : 7,450.14 = 1,847.55 : x
  2. Step 2: Convert to fraction form
    4,966.76/7,450.14 = 1,847.55/x
  3. Step 3: Cross multiply
    4,966.76x = 7,450.14 × 1,847.55
  4. Step 4: Simplify right side
    4,966.76x = 13,764,520.07
  5. Step 5: Solve for x
    x = 13,764,520.07/4,966.76
  6. Step 6: Final answer
    x = 2,771.33

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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.