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Finding the Fourth Proportional to 14,817, 20,447.70 and 8,193

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Solution

The fourth proportional to 14,817, 20,447.70 and 8,193 is: 11,306.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,817 : 20,447.70 = 8,193 : x
  2. Step 2: Convert to fraction form
    14,817/20,447.70 = 8,193/x
  3. Step 3: Cross multiply
    14,817x = 20,447.70 × 8,193
  4. Step 4: Simplify right side
    14,817x = 167,528,006.10
  5. Step 5: Solve for x
    x = 167,528,006.10/14,817
  6. Step 6: Final answer
    x = 11,306.47

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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.