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Finding the Fourth Proportional to 11,777.82, 17,670.24 and 4,754.22

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Solution

The fourth proportional to 11,777.82, 17,670.24 and 4,754.22 is: 7,132.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,777.82 : 17,670.24 = 4,754.22 : x
  2. Step 2: Convert to fraction form
    11,777.82/17,670.24 = 4,754.22/x
  3. Step 3: Cross multiply
    11,777.82x = 17,670.24 × 4,754.22
  4. Step 4: Simplify right side
    11,777.82x = 84,008,208.41
  5. Step 5: Solve for x
    x = 84,008,208.41/11,777.82
  6. Step 6: Final answer
    x = 7,132.75

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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.