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Finding the Fourth Proportional to 11,193.77, 16,782.12 and 9,651.93

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Solution

The fourth proportional to 11,193.77, 16,782.12 and 9,651.93 is: 14,470.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,193.77 : 16,782.12 = 9,651.93 : x
  2. Step 2: Convert to fraction form
    11,193.77/16,782.12 = 9,651.93/x
  3. Step 3: Cross multiply
    11,193.77x = 16,782.12 × 9,651.93
  4. Step 4: Simplify right side
    11,193.77x = 161,979,847.49
  5. Step 5: Solve for x
    x = 161,979,847.49/11,193.77
  6. Step 6: Final answer
    x = 14,470.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.