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Finding the Fourth Proportional to 10,791, 14,891.22 and 6,075

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Solution

The fourth proportional to 10,791, 14,891.22 and 6,075 is: 8,383.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,791 : 14,891.22 = 6,075 : x
  2. Step 2: Convert to fraction form
    10,791/14,891.22 = 6,075/x
  3. Step 3: Cross multiply
    10,791x = 14,891.22 × 6,075
  4. Step 4: Simplify right side
    10,791x = 90,464,161.50
  5. Step 5: Solve for x
    x = 90,464,161.50/10,791
  6. Step 6: Final answer
    x = 8,383.30

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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.