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Finding the Fourth Proportional to 6,563.18, 9,847.92 and 3,276.74

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Solution

The fourth proportional to 6,563.18, 9,847.92 and 3,276.74 is: 4,916.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,563.18 : 9,847.92 = 3,276.74 : x
  2. Step 2: Convert to fraction form
    6,563.18/9,847.92 = 3,276.74/x
  3. Step 3: Cross multiply
    6,563.18x = 9,847.92 × 3,276.74
  4. Step 4: Simplify right side
    6,563.18x = 32,269,073.38
  5. Step 5: Solve for x
    x = 32,269,073.38/6,563.18
  6. Step 6: Final answer
    x = 4,916.68

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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.