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Finding the Fourth Proportional to 6,075.70, 9,108.88 and 2,786.42

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Solution

The fourth proportional to 6,075.70, 9,108.88 and 2,786.42 is: 4,177.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,075.70 : 9,108.88 = 2,786.42 : x
  2. Step 2: Convert to fraction form
    6,075.70/9,108.88 = 2,786.42/x
  3. Step 3: Cross multiply
    6,075.70x = 9,108.88 × 2,786.42
  4. Step 4: Simplify right side
    6,075.70x = 25,381,165.41
  5. Step 5: Solve for x
    x = 25,381,165.41/6,075.70
  6. Step 6: Final answer
    x = 4,177.49

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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.