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Finding the Fourth Proportional to 11,764.16, 16,234.92 and 6,796.16

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Solution

The fourth proportional to 11,764.16, 16,234.92 and 6,796.16 is: 9,378.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,764.16 : 16,234.92 = 6,796.16 : x
  2. Step 2: Convert to fraction form
    11,764.16/16,234.92 = 6,796.16/x
  3. Step 3: Cross multiply
    11,764.16x = 16,234.92 × 6,796.16
  4. Step 4: Simplify right side
    11,764.16x = 110,335,113.91
  5. Step 5: Solve for x
    x = 110,335,113.91/11,764.16
  6. Step 6: Final answer
    x = 9,378.92

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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.