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Finding the Fourth Proportional to 22,075, 33,112.74 and 8,751.24

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Solution

The fourth proportional to 22,075, 33,112.74 and 8,751.24 is: 13,126.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,075 : 33,112.74 = 8,751.24 : x
  2. Step 2: Convert to fraction form
    22,075/33,112.74 = 8,751.24/x
  3. Step 3: Cross multiply
    22,075x = 33,112.74 × 8,751.24
  4. Step 4: Simplify right side
    22,075x = 289,777,534.80
  5. Step 5: Solve for x
    x = 289,777,534.80/22,075
  6. Step 6: Final answer
    x = 13,126.96

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1.5x scale

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.