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Finding the Fourth Proportional to 13,677.21, 18,865.20 and 8,374.65

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Solution

The fourth proportional to 13,677.21, 18,865.20 and 8,374.65 is: 11,551.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,677.21 : 18,865.20 = 8,374.65 : x
  2. Step 2: Convert to fraction form
    13,677.21/18,865.20 = 8,374.65/x
  3. Step 3: Cross multiply
    13,677.21x = 18,865.20 × 8,374.65
  4. Step 4: Simplify right side
    13,677.21x = 157,989,447.18
  5. Step 5: Solve for x
    x = 157,989,447.18/13,677.21
  6. Step 6: Final answer
    x = 11,551.29

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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.