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Finding the Fourth Proportional to 10,231.60, 15,361.80 and 8,042.80

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Solution

The fourth proportional to 10,231.60, 15,361.80 and 8,042.80 is: 12,075.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,231.60 : 15,361.80 = 8,042.80 : x
  2. Step 2: Convert to fraction form
    10,231.60/15,361.80 = 8,042.80/x
  3. Step 3: Cross multiply
    10,231.60x = 15,361.80 × 8,042.80
  4. Step 4: Simplify right side
    10,231.60x = 123,551,885.04
  5. Step 5: Solve for x
    x = 123,551,885.04/10,231.60
  6. Step 6: Final answer
    x = 12,075.52

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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.