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Finding the Fourth Proportional to 23,695, 35,542.70 and 8,112.76

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Solution

The fourth proportional to 23,695, 35,542.70 and 8,112.76 is: 12,169.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,695 : 35,542.70 = 8,112.76 : x
  2. Step 2: Convert to fraction form
    23,695/35,542.70 = 8,112.76/x
  3. Step 3: Cross multiply
    23,695x = 35,542.70 × 8,112.76
  4. Step 4: Simplify right side
    23,695x = 288,349,394.85
  5. Step 5: Solve for x
    x = 288,349,394.85/23,695
  6. Step 6: Final answer
    x = 12,169.21

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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.