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Finding the Fourth Proportional to 9,054, 13,581.52 and 3,508.24

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Solution

The fourth proportional to 9,054, 13,581.52 and 3,508.24 is: 5,262.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,054 : 13,581.52 = 3,508.24 : x
  2. Step 2: Convert to fraction form
    9,054/13,581.52 = 3,508.24/x
  3. Step 3: Cross multiply
    9,054x = 13,581.52 × 3,508.24
  4. Step 4: Simplify right side
    9,054x = 47,647,231.72
  5. Step 5: Solve for x
    x = 47,647,231.72/9,054
  6. Step 6: Final answer
    x = 5,262.56

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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.