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Finding the Fourth Proportional to 14,092.25, 19,447.25 and 8,123.90

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Solution

The fourth proportional to 14,092.25, 19,447.25 and 8,123.90 is: 11,210.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,092.25 : 19,447.25 = 8,123.90 : x
  2. Step 2: Convert to fraction form
    14,092.25/19,447.25 = 8,123.90/x
  3. Step 3: Cross multiply
    14,092.25x = 19,447.25 × 8,123.90
  4. Step 4: Simplify right side
    14,092.25x = 157,987,376.42
  5. Step 5: Solve for x
    x = 157,987,376.42/14,092.25
  6. Step 6: Final answer
    x = 11,210.94

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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.