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Finding the Fourth Proportional to 6,291.75, 8,682.84 and 3,459.24

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Solution

The fourth proportional to 6,291.75, 8,682.84 and 3,459.24 is: 4,773.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,291.75 : 8,682.84 = 3,459.24 : x
  2. Step 2: Convert to fraction form
    6,291.75/8,682.84 = 3,459.24/x
  3. Step 3: Cross multiply
    6,291.75x = 8,682.84 × 3,459.24
  4. Step 4: Simplify right side
    6,291.75x = 30,036,027.44
  5. Step 5: Solve for x
    x = 30,036,027.44/6,291.75
  6. Step 6: Final answer
    x = 4,773.87

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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.