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Finding the Fourth Proportional to 6,365.98, 9,548.94 and 1,983.44

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Solution

The fourth proportional to 6,365.98, 9,548.94 and 1,983.44 is: 2,975.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,365.98 : 9,548.94 = 1,983.44 : x
  2. Step 2: Convert to fraction form
    6,365.98/9,548.94 = 1,983.44/x
  3. Step 3: Cross multiply
    6,365.98x = 9,548.94 × 1,983.44
  4. Step 4: Simplify right side
    6,365.98x = 18,939,715.99
  5. Step 5: Solve for x
    x = 18,939,715.99/6,365.98
  6. Step 6: Final answer
    x = 2,975.15

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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.