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Finding the Fourth Proportional to 14,893.75, 20,563.02 and 9,234.53

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Solution

The fourth proportional to 14,893.75, 20,563.02 and 9,234.53 is: 12,749.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,893.75 : 20,563.02 = 9,234.53 : x
  2. Step 2: Convert to fraction form
    14,893.75/20,563.02 = 9,234.53/x
  3. Step 3: Cross multiply
    14,893.75x = 20,563.02 × 9,234.53
  4. Step 4: Simplify right side
    14,893.75x = 189,889,825.08
  5. Step 5: Solve for x
    x = 189,889,825.08/14,893.75
  6. Step 6: Final answer
    x = 12,749.63

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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.