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Finding the Fourth Proportional to 6,365.97, 9,548.97 and 1,983.43

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Solution

The fourth proportional to 6,365.97, 9,548.97 and 1,983.43 is: 2,975.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,365.97 : 9,548.97 = 1,983.43 : x
  2. Step 2: Convert to fraction form
    6,365.97/9,548.97 = 1,983.43/x
  3. Step 3: Cross multiply
    6,365.97x = 9,548.97 × 1,983.43
  4. Step 4: Simplify right side
    6,365.97x = 18,939,718.07
  5. Step 5: Solve for x
    x = 18,939,718.07/6,365.97
  6. Step 6: Final answer
    x = 2,975.15

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Similar ratio
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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.