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Finding the Fourth Proportional to 9,183.52, 13,775.54 and 2,258

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Solution

The fourth proportional to 9,183.52, 13,775.54 and 2,258 is: 3,387.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,183.52 : 13,775.54 = 2,258 : x
  2. Step 2: Convert to fraction form
    9,183.52/13,775.54 = 2,258/x
  3. Step 3: Cross multiply
    9,183.52x = 13,775.54 × 2,258
  4. Step 4: Simplify right side
    9,183.52x = 31,105,169.32
  5. Step 5: Solve for x
    x = 31,105,169.32/9,183.52
  6. Step 6: Final answer
    x = 3,387.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.