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Finding the Fourth Proportional to 6,965.20, 9,612 and 3,821.44

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Solution

The fourth proportional to 6,965.20, 9,612 and 3,821.44 is: 5,273.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965.20 : 9,612 = 3,821.44 : x
  2. Step 2: Convert to fraction form
    6,965.20/9,612 = 3,821.44/x
  3. Step 3: Cross multiply
    6,965.20x = 9,612 × 3,821.44
  4. Step 4: Simplify right side
    6,965.20x = 36,731,681.28
  5. Step 5: Solve for x
    x = 36,731,681.28/6,965.20
  6. Step 6: Final answer
    x = 5,273.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.