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Finding the Fourth Proportional to 11,782.94, 17,674.41 and 5,538.37

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Solution

The fourth proportional to 11,782.94, 17,674.41 and 5,538.37 is: 8,307.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,782.94 : 17,674.41 = 5,538.37 : x
  2. Step 2: Convert to fraction form
    11,782.94/17,674.41 = 5,538.37/x
  3. Step 3: Cross multiply
    11,782.94x = 17,674.41 × 5,538.37
  4. Step 4: Simplify right side
    11,782.94x = 97,887,422.11
  5. Step 5: Solve for x
    x = 97,887,422.11/11,782.94
  6. Step 6: Final answer
    x = 8,307.56

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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.