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Finding the Fourth Proportional to 11,601.76, 16,014.24 and 6,821.48

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Solution

The fourth proportional to 11,601.76, 16,014.24 and 6,821.48 is: 9,415.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,601.76 : 16,014.24 = 6,821.48 : x
  2. Step 2: Convert to fraction form
    11,601.76/16,014.24 = 6,821.48/x
  3. Step 3: Cross multiply
    11,601.76x = 16,014.24 × 6,821.48
  4. Step 4: Simplify right side
    11,601.76x = 109,240,817.88
  5. Step 5: Solve for x
    x = 109,240,817.88/11,601.76
  6. Step 6: Final answer
    x = 9,415.88

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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.