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Finding the Fourth Proportional to 13,835.25, 19,092.65 and 8,246.25

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Solution

The fourth proportional to 13,835.25, 19,092.65 and 8,246.25 is: 11,379.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,835.25 : 19,092.65 = 8,246.25 : x
  2. Step 2: Convert to fraction form
    13,835.25/19,092.65 = 8,246.25/x
  3. Step 3: Cross multiply
    13,835.25x = 19,092.65 × 8,246.25
  4. Step 4: Simplify right side
    13,835.25x = 157,442,723.83
  5. Step 5: Solve for x
    x = 157,442,723.83/13,835.25
  6. Step 6: Final answer
    x = 11,379.83

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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.