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Finding the Fourth Proportional to 12,771.84, 17,626.50 and 8,057.64

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Solution

The fourth proportional to 12,771.84, 17,626.50 and 8,057.64 is: 11,120.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,771.84 : 17,626.50 = 8,057.64 : x
  2. Step 2: Convert to fraction form
    12,771.84/17,626.50 = 8,057.64/x
  3. Step 3: Cross multiply
    12,771.84x = 17,626.50 × 8,057.64
  4. Step 4: Simplify right side
    12,771.84x = 142,027,991.46
  5. Step 5: Solve for x
    x = 142,027,991.46/12,771.84
  6. Step 6: Final answer
    x = 11,120.40

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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.