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Finding the Fourth Proportional to 14,561, 20,093.46 and 8,273.24

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Solution

The fourth proportional to 14,561, 20,093.46 and 8,273.24 is: 11,416.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,561 : 20,093.46 = 8,273.24 : x
  2. Step 2: Convert to fraction form
    14,561/20,093.46 = 8,273.24/x
  3. Step 3: Cross multiply
    14,561x = 20,093.46 × 8,273.24
  4. Step 4: Simplify right side
    14,561x = 166,238,017.01
  5. Step 5: Solve for x
    x = 166,238,017.01/14,561
  6. Step 6: Final answer
    x = 11,416.66

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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.