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Finding the Fourth Proportional to 6,468.76, 9,704.21 and 3,182.19

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Solution

The fourth proportional to 6,468.76, 9,704.21 and 3,182.19 is: 4,773.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468.76 : 9,704.21 = 3,182.19 : x
  2. Step 2: Convert to fraction form
    6,468.76/9,704.21 = 3,182.19/x
  3. Step 3: Cross multiply
    6,468.76x = 9,704.21 × 3,182.19
  4. Step 4: Simplify right side
    6,468.76x = 30,880,587.72
  5. Step 5: Solve for x
    x = 30,880,587.72/6,468.76
  6. Step 6: Final answer
    x = 4,773.80

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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.