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Finding the Fourth Proportional to 14,896.96, 20,557.69 and 8,091.12

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Solution

The fourth proportional to 14,896.96, 20,557.69 and 8,091.12 is: 11,165.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,896.96 : 20,557.69 = 8,091.12 : x
  2. Step 2: Convert to fraction form
    14,896.96/20,557.69 = 8,091.12/x
  3. Step 3: Cross multiply
    14,896.96x = 20,557.69 × 8,091.12
  4. Step 4: Simplify right side
    14,896.96x = 166,334,736.71
  5. Step 5: Solve for x
    x = 166,334,736.71/14,896.96
  6. Step 6: Final answer
    x = 11,165.68

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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.