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Finding the Fourth Proportional to 10,773.92, 16,163.20 and 6,386.24

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Solution

The fourth proportional to 10,773.92, 16,163.20 and 6,386.24 is: 9,580.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,773.92 : 16,163.20 = 6,386.24 : x
  2. Step 2: Convert to fraction form
    10,773.92/16,163.20 = 6,386.24/x
  3. Step 3: Cross multiply
    10,773.92x = 16,163.20 × 6,386.24
  4. Step 4: Simplify right side
    10,773.92x = 103,222,074.37
  5. Step 5: Solve for x
    x = 103,222,074.37/10,773.92
  6. Step 6: Final answer
    x = 9,580.74

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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.