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Finding the Fourth Proportional to 12,975, 17,905.50 and 7,386

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Solution

The fourth proportional to 12,975, 17,905.50 and 7,386 is: 10,192.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,975 : 17,905.50 = 7,386 : x
  2. Step 2: Convert to fraction form
    12,975/17,905.50 = 7,386/x
  3. Step 3: Cross multiply
    12,975x = 17,905.50 × 7,386
  4. Step 4: Simplify right side
    12,975x = 132,250,023
  5. Step 5: Solve for x
    x = 132,250,023/12,975
  6. Step 6: Final answer
    x = 10,192.68

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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.