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Finding the Fourth Proportional to 6,348.08, 9,523.60 and 1,965.30

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Solution

The fourth proportional to 6,348.08, 9,523.60 and 1,965.30 is: 2,948.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,348.08 : 9,523.60 = 1,965.30 : x
  2. Step 2: Convert to fraction form
    6,348.08/9,523.60 = 1,965.30/x
  3. Step 3: Cross multiply
    6,348.08x = 9,523.60 × 1,965.30
  4. Step 4: Simplify right side
    6,348.08x = 18,716,731.08
  5. Step 5: Solve for x
    x = 18,716,731.08/6,348.08
  6. Step 6: Final answer
    x = 2,948.41

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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.