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Finding the Fourth Proportional to 6,348.27, 9,523.43 and 1,965.72

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Solution

The fourth proportional to 6,348.27, 9,523.43 and 1,965.72 is: 2,948.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,348.27 : 9,523.43 = 1,965.72 : x
  2. Step 2: Convert to fraction form
    6,348.27/9,523.43 = 1,965.72/x
  3. Step 3: Cross multiply
    6,348.27x = 9,523.43 × 1,965.72
  4. Step 4: Simplify right side
    6,348.27x = 18,720,386.99
  5. Step 5: Solve for x
    x = 18,720,386.99/6,348.27
  6. Step 6: Final answer
    x = 2,948.90

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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.