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Finding the Fourth Proportional to 11,474.74, 15,837.38 and 6,695.25

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Solution

The fourth proportional to 11,474.74, 15,837.38 and 6,695.25 is: 9,240.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,474.74 : 15,837.38 = 6,695.25 : x
  2. Step 2: Convert to fraction form
    11,474.74/15,837.38 = 6,695.25/x
  3. Step 3: Cross multiply
    11,474.74x = 15,837.38 × 6,695.25
  4. Step 4: Simplify right side
    11,474.74x = 106,035,218.45
  5. Step 5: Solve for x
    x = 106,035,218.45/11,474.74
  6. Step 6: Final answer
    x = 9,240.75

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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.