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Finding the Fourth Proportional to 8,093.40, 12,140.10 and 8,042.20

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Solution

The fourth proportional to 8,093.40, 12,140.10 and 8,042.20 is: 12,063.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,093.40 : 12,140.10 = 8,042.20 : x
  2. Step 2: Convert to fraction form
    8,093.40/12,140.10 = 8,042.20/x
  3. Step 3: Cross multiply
    8,093.40x = 12,140.10 × 8,042.20
  4. Step 4: Simplify right side
    8,093.40x = 97,633,112.22
  5. Step 5: Solve for x
    x = 97,633,112.22/8,093.40
  6. Step 6: Final answer
    x = 12,063.30

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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.