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Finding the Fourth Proportional to 11,763.16, 17,633.79 and 5,185.76

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Solution

The fourth proportional to 11,763.16, 17,633.79 and 5,185.76 is: 7,773.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,763.16 : 17,633.79 = 5,185.76 : x
  2. Step 2: Convert to fraction form
    11,763.16/17,633.79 = 5,185.76/x
  3. Step 3: Cross multiply
    11,763.16x = 17,633.79 × 5,185.76
  4. Step 4: Simplify right side
    11,763.16x = 91,444,514.66
  5. Step 5: Solve for x
    x = 91,444,514.66/11,763.16
  6. Step 6: Final answer
    x = 7,773.81

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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.