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Finding the Fourth Proportional to 6,613.31, 9,919.77 and 1,682.93

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Solution

The fourth proportional to 6,613.31, 9,919.77 and 1,682.93 is: 2,524.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,613.31 : 9,919.77 = 1,682.93 : x
  2. Step 2: Convert to fraction form
    6,613.31/9,919.77 = 1,682.93/x
  3. Step 3: Cross multiply
    6,613.31x = 9,919.77 × 1,682.93
  4. Step 4: Simplify right side
    6,613.31x = 16,694,297.01
  5. Step 5: Solve for x
    x = 16,694,297.01/6,613.31
  6. Step 6: Final answer
    x = 2,524.35

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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.