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Finding the Fourth Proportional to 13,182, 18,191.16 and 7,593

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Solution

The fourth proportional to 13,182, 18,191.16 and 7,593 is: 10,478.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,182 : 18,191.16 = 7,593 : x
  2. Step 2: Convert to fraction form
    13,182/18,191.16 = 7,593/x
  3. Step 3: Cross multiply
    13,182x = 18,191.16 × 7,593
  4. Step 4: Simplify right side
    13,182x = 138,125,477.88
  5. Step 5: Solve for x
    x = 138,125,477.88/13,182
  6. Step 6: Final answer
    x = 10,478.34

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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.