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Finding the Fourth Proportional to 6,193.47, 9,284.10 and 3,965.97

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Solution

The fourth proportional to 6,193.47, 9,284.10 and 3,965.97 is: 5,945.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.47 : 9,284.10 = 3,965.97 : x
  2. Step 2: Convert to fraction form
    6,193.47/9,284.10 = 3,965.97/x
  3. Step 3: Cross multiply
    6,193.47x = 9,284.10 × 3,965.97
  4. Step 4: Simplify right side
    6,193.47x = 36,820,462.08
  5. Step 5: Solve for x
    x = 36,820,462.08/6,193.47
  6. Step 6: Final answer
    x = 5,945.05

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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.