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Finding the Fourth Proportional to 6,327.96, 9,491.98 and 4,150.48

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Solution

The fourth proportional to 6,327.96, 9,491.98 and 4,150.48 is: 6,225.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,327.96 : 9,491.98 = 4,150.48 : x
  2. Step 2: Convert to fraction form
    6,327.96/9,491.98 = 4,150.48/x
  3. Step 3: Cross multiply
    6,327.96x = 9,491.98 × 4,150.48
  4. Step 4: Simplify right side
    6,327.96x = 39,396,252.40
  5. Step 5: Solve for x
    x = 39,396,252.40/6,327.96
  6. Step 6: Final answer
    x = 6,225.74

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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.