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Finding the Fourth Proportional to 11,684.77, 17,499.22 and 6,739.42

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Solution

The fourth proportional to 11,684.77, 17,499.22 and 6,739.42 is: 10,093.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,684.77 : 17,499.22 = 6,739.42 : x
  2. Step 2: Convert to fraction form
    11,684.77/17,499.22 = 6,739.42/x
  3. Step 3: Cross multiply
    11,684.77x = 17,499.22 × 6,739.42
  4. Step 4: Simplify right side
    11,684.77x = 117,934,515.81
  5. Step 5: Solve for x
    x = 117,934,515.81/11,684.77
  6. Step 6: Final answer
    x = 10,093.01

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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.