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Finding the Fourth Proportional to 15,075.74, 20,804.49 and 8,361.42

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Solution

The fourth proportional to 15,075.74, 20,804.49 and 8,361.42 is: 11,538.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,075.74 : 20,804.49 = 8,361.42 : x
  2. Step 2: Convert to fraction form
    15,075.74/20,804.49 = 8,361.42/x
  3. Step 3: Cross multiply
    15,075.74x = 20,804.49 × 8,361.42
  4. Step 4: Simplify right side
    15,075.74x = 173,955,078.78
  5. Step 5: Solve for x
    x = 173,955,078.78/15,075.74
  6. Step 6: Final answer
    x = 11,538.75

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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.