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Finding the Fourth Proportional to 11,230, 15,494.56 and 6,979.12

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Solution

The fourth proportional to 11,230, 15,494.56 and 6,979.12 is: 9,629.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,230 : 15,494.56 = 6,979.12 : x
  2. Step 2: Convert to fraction form
    11,230/15,494.56 = 6,979.12/x
  3. Step 3: Cross multiply
    11,230x = 15,494.56 × 6,979.12
  4. Step 4: Simplify right side
    11,230x = 108,138,393.59
  5. Step 5: Solve for x
    x = 108,138,393.59/11,230
  6. Step 6: Final answer
    x = 9,629.42

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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.