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Finding the Fourth Proportional to 11,773.58, 17,664.90 and 5,195.12

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Solution

The fourth proportional to 11,773.58, 17,664.90 and 5,195.12 is: 7,794.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,773.58 : 17,664.90 = 5,195.12 : x
  2. Step 2: Convert to fraction form
    11,773.58/17,664.90 = 5,195.12/x
  3. Step 3: Cross multiply
    11,773.58x = 17,664.90 × 5,195.12
  4. Step 4: Simplify right side
    11,773.58x = 91,771,275.29
  5. Step 5: Solve for x
    x = 91,771,275.29/11,773.58
  6. Step 6: Final answer
    x = 7,794.68

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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.