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Finding the Fourth Proportional to 3,675.75, 5,513.63 and 939.75

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Solution

The fourth proportional to 3,675.75, 5,513.63 and 939.75 is: 1,409.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675.75 : 5,513.63 = 939.75 : x
  2. Step 2: Convert to fraction form
    3,675.75/5,513.63 = 939.75/x
  3. Step 3: Cross multiply
    3,675.75x = 5,513.63 × 939.75
  4. Step 4: Simplify right side
    3,675.75x = 5,181,429.09
  5. Step 5: Solve for x
    x = 5,181,429.09/3,675.75
  6. Step 6: Final answer
    x = 1,409.63

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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.