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Finding the Fourth Proportional to 9,518.52, 14,277.76 and 2,593

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Solution

The fourth proportional to 9,518.52, 14,277.76 and 2,593 is: 3,889.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,518.52 : 14,277.76 = 2,593 : x
  2. Step 2: Convert to fraction form
    9,518.52/14,277.76 = 2,593/x
  3. Step 3: Cross multiply
    9,518.52x = 14,277.76 × 2,593
  4. Step 4: Simplify right side
    9,518.52x = 37,022,231.68
  5. Step 5: Solve for x
    x = 37,022,231.68/9,518.52
  6. Step 6: Final answer
    x = 3,889.49

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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.