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Finding the Fourth Proportional to 15,075.46, 20,804.25 and 8,361.64

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Solution

The fourth proportional to 15,075.46, 20,804.25 and 8,361.64 is: 11,539.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,075.46 : 20,804.25 = 8,361.64 : x
  2. Step 2: Convert to fraction form
    15,075.46/20,804.25 = 8,361.64/x
  3. Step 3: Cross multiply
    15,075.46x = 20,804.25 × 8,361.64
  4. Step 4: Simplify right side
    15,075.46x = 173,957,648.97
  5. Step 5: Solve for x
    x = 173,957,648.97/15,075.46
  6. Step 6: Final answer
    x = 11,539.13

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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.