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Finding the Fourth Proportional to 13,804.92, 19,050.86 and 8,216.12

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Solution

The fourth proportional to 13,804.92, 19,050.86 and 8,216.12 is: 11,338.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,804.92 : 19,050.86 = 8,216.12 : x
  2. Step 2: Convert to fraction form
    13,804.92/19,050.86 = 8,216.12/x
  3. Step 3: Cross multiply
    13,804.92x = 19,050.86 × 8,216.12
  4. Step 4: Simplify right side
    13,804.92x = 156,524,151.86
  5. Step 5: Solve for x
    x = 156,524,151.86/13,804.92
  6. Step 6: Final answer
    x = 11,338.29

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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.