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Finding the Fourth Proportional to 11,596.99, 16,003.70 and 6,291.77

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Solution

The fourth proportional to 11,596.99, 16,003.70 and 6,291.77 is: 8,682.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,596.99 : 16,003.70 = 6,291.77 : x
  2. Step 2: Convert to fraction form
    11,596.99/16,003.70 = 6,291.77/x
  3. Step 3: Cross multiply
    11,596.99x = 16,003.70 × 6,291.77
  4. Step 4: Simplify right side
    11,596.99x = 100,691,575.27
  5. Step 5: Solve for x
    x = 100,691,575.27/11,596.99
  6. Step 6: Final answer
    x = 8,682.56

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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.