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Finding the Fourth Proportional to 14,906.94, 20,557.44 and 9,793.46

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Solution

The fourth proportional to 14,906.94, 20,557.44 and 9,793.46 is: 13,505.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,906.94 : 20,557.44 = 9,793.46 : x
  2. Step 2: Convert to fraction form
    14,906.94/20,557.44 = 9,793.46/x
  3. Step 3: Cross multiply
    14,906.94x = 20,557.44 × 9,793.46
  4. Step 4: Simplify right side
    14,906.94x = 201,328,466.34
  5. Step 5: Solve for x
    x = 201,328,466.34/14,906.94
  6. Step 6: Final answer
    x = 13,505.69

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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.