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Finding the Fourth Proportional to 11,000.56, 16,500.72 and 4,075

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Solution

The fourth proportional to 11,000.56, 16,500.72 and 4,075 is: 6,112.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,000.56 : 16,500.72 = 4,075 : x
  2. Step 2: Convert to fraction form
    11,000.56/16,500.72 = 4,075/x
  3. Step 3: Cross multiply
    11,000.56x = 16,500.72 × 4,075
  4. Step 4: Simplify right side
    11,000.56x = 67,240,434
  5. Step 5: Solve for x
    x = 67,240,434/11,000.56
  6. Step 6: Final answer
    x = 6,112.46

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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.