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Finding the Fourth Proportional to 6,454.76, 9,682.19 and 2,755.08

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Solution

The fourth proportional to 6,454.76, 9,682.19 and 2,755.08 is: 4,132.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,454.76 : 9,682.19 = 2,755.08 : x
  2. Step 2: Convert to fraction form
    6,454.76/9,682.19 = 2,755.08/x
  3. Step 3: Cross multiply
    6,454.76x = 9,682.19 × 2,755.08
  4. Step 4: Simplify right side
    6,454.76x = 26,675,194.25
  5. Step 5: Solve for x
    x = 26,675,194.25/6,454.76
  6. Step 6: Final answer
    x = 4,132.64

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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.