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Finding the Fourth Proportional to 13,914.17, 19,202.34 and 8,252.27

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Solution

The fourth proportional to 13,914.17, 19,202.34 and 8,252.27 is: 11,388.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,914.17 : 19,202.34 = 8,252.27 : x
  2. Step 2: Convert to fraction form
    13,914.17/19,202.34 = 8,252.27/x
  3. Step 3: Cross multiply
    13,914.17x = 19,202.34 × 8,252.27
  4. Step 4: Simplify right side
    13,914.17x = 158,462,973.26
  5. Step 5: Solve for x
    x = 158,462,973.26/13,914.17
  6. Step 6: Final answer
    x = 11,388.60

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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.