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Finding the Fourth Proportional to 10,791.63, 14,891.65 and 6,075

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Solution

The fourth proportional to 10,791.63, 14,891.65 and 6,075 is: 8,383.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,791.63 : 14,891.65 = 6,075 : x
  2. Step 2: Convert to fraction form
    10,791.63/14,891.65 = 6,075/x
  3. Step 3: Cross multiply
    10,791.63x = 14,891.65 × 6,075
  4. Step 4: Simplify right side
    10,791.63x = 90,466,758.56
  5. Step 5: Solve for x
    x = 90,466,758.56/10,791.63
  6. Step 6: Final answer
    x = 8,383.05

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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.