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Finding the Fourth Proportional to 13,644.14, 18,826.07 and 7,977.78

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Solution

The fourth proportional to 13,644.14, 18,826.07 and 7,977.78 is: 11,007.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,644.14 : 18,826.07 = 7,977.78 : x
  2. Step 2: Convert to fraction form
    13,644.14/18,826.07 = 7,977.78/x
  3. Step 3: Cross multiply
    13,644.14x = 18,826.07 × 7,977.78
  4. Step 4: Simplify right side
    13,644.14x = 150,190,204.84
  5. Step 5: Solve for x
    x = 150,190,204.84/13,644.14
  6. Step 6: Final answer
    x = 11,007.68

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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.