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Finding the Fourth Proportional to 12,791.71, 17,655.33 and 8,075.08

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Solution

The fourth proportional to 12,791.71, 17,655.33 and 8,075.08 is: 11,145.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,791.71 : 17,655.33 = 8,075.08 : x
  2. Step 2: Convert to fraction form
    12,791.71/17,655.33 = 8,075.08/x
  3. Step 3: Cross multiply
    12,791.71x = 17,655.33 × 8,075.08
  4. Step 4: Simplify right side
    12,791.71x = 142,568,202.18
  5. Step 5: Solve for x
    x = 142,568,202.18/12,791.71
  6. Step 6: Final answer
    x = 11,145.36

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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.