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Finding the Fourth Proportional to 13,185, 19,777.75 and 6,163.09

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Solution

The fourth proportional to 13,185, 19,777.75 and 6,163.09 is: 9,244.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,185 : 19,777.75 = 6,163.09 : x
  2. Step 2: Convert to fraction form
    13,185/19,777.75 = 6,163.09/x
  3. Step 3: Cross multiply
    13,185x = 19,777.75 × 6,163.09
  4. Step 4: Simplify right side
    13,185x = 121,891,988.40
  5. Step 5: Solve for x
    x = 121,891,988.40/13,185
  6. Step 6: Final answer
    x = 9,244.75

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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.