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Finding the Fourth Proportional to 14,675, 20,251.49 and 7,960.61

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Solution

The fourth proportional to 14,675, 20,251.49 and 7,960.61 is: 10,985.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,675 : 20,251.49 = 7,960.61 : x
  2. Step 2: Convert to fraction form
    14,675/20,251.49 = 7,960.61/x
  3. Step 3: Cross multiply
    14,675x = 20,251.49 × 7,960.61
  4. Step 4: Simplify right side
    14,675x = 161,214,174.01
  5. Step 5: Solve for x
    x = 161,214,174.01/14,675
  6. Step 6: Final answer
    x = 10,985.63

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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.