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Finding the Fourth Proportional to 4,243, 6,364.96 and 1,165

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Solution

The fourth proportional to 4,243, 6,364.96 and 1,165 is: 1,747.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,243 : 6,364.96 = 1,165 : x
  2. Step 2: Convert to fraction form
    4,243/6,364.96 = 1,165/x
  3. Step 3: Cross multiply
    4,243x = 6,364.96 × 1,165
  4. Step 4: Simplify right side
    4,243x = 7,415,178.40
  5. Step 5: Solve for x
    x = 7,415,178.40/4,243
  6. Step 6: Final answer
    x = 1,747.63

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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.