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Finding the Fourth Proportional to 4,107.96, 6,163.02 and 1,186.50

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Solution

The fourth proportional to 4,107.96, 6,163.02 and 1,186.50 is: 1,780.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,107.96 : 6,163.02 = 1,186.50 : x
  2. Step 2: Convert to fraction form
    4,107.96/6,163.02 = 1,186.50/x
  3. Step 3: Cross multiply
    4,107.96x = 6,163.02 × 1,186.50
  4. Step 4: Simplify right side
    4,107.96x = 7,312,423.23
  5. Step 5: Solve for x
    x = 7,312,423.23/4,107.96
  6. Step 6: Final answer
    x = 1,780.06

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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.