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Finding the Fourth Proportional to 12,419.70, 18,629.55 and 8,042.10

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Solution

The fourth proportional to 12,419.70, 18,629.55 and 8,042.10 is: 12,063.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,419.70 : 18,629.55 = 8,042.10 : x
  2. Step 2: Convert to fraction form
    12,419.70/18,629.55 = 8,042.10/x
  3. Step 3: Cross multiply
    12,419.70x = 18,629.55 × 8,042.10
  4. Step 4: Simplify right side
    12,419.70x = 149,820,704.06
  5. Step 5: Solve for x
    x = 149,820,704.06/12,419.70
  6. Step 6: Final answer
    x = 12,063.15

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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.