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Finding the Fourth Proportional to 6,348.68, 9,524.18 and 1,965.84

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Solution

The fourth proportional to 6,348.68, 9,524.18 and 1,965.84 is: 2,949.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,348.68 : 9,524.18 = 1,965.84 : x
  2. Step 2: Convert to fraction form
    6,348.68/9,524.18 = 1,965.84/x
  3. Step 3: Cross multiply
    6,348.68x = 9,524.18 × 1,965.84
  4. Step 4: Simplify right side
    6,348.68x = 18,723,014.01
  5. Step 5: Solve for x
    x = 18,723,014.01/6,348.68
  6. Step 6: Final answer
    x = 2,949.12

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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.