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Finding the Fourth Proportional to 13,076.68, 18,048.42 and 7,770.44

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Solution

The fourth proportional to 13,076.68, 18,048.42 and 7,770.44 is: 10,724.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,076.68 : 18,048.42 = 7,770.44 : x
  2. Step 2: Convert to fraction form
    13,076.68/18,048.42 = 7,770.44/x
  3. Step 3: Cross multiply
    13,076.68x = 18,048.42 × 7,770.44
  4. Step 4: Simplify right side
    13,076.68x = 140,244,164.70
  5. Step 5: Solve for x
    x = 140,244,164.70/13,076.68
  6. Step 6: Final answer
    x = 10,724.75

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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.