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Finding the Fourth Proportional to 12,493, 17,240.36 and 6,904

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Solution

The fourth proportional to 12,493, 17,240.36 and 6,904 is: 9,527.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,493 : 17,240.36 = 6,904 : x
  2. Step 2: Convert to fraction form
    12,493/17,240.36 = 6,904/x
  3. Step 3: Cross multiply
    12,493x = 17,240.36 × 6,904
  4. Step 4: Simplify right side
    12,493x = 119,027,445.44
  5. Step 5: Solve for x
    x = 119,027,445.44/12,493
  6. Step 6: Final answer
    x = 9,527.53

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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.