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Finding the Fourth Proportional to 8,997.64, 13,498.44 and 2,758.51

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Solution

The fourth proportional to 8,997.64, 13,498.44 and 2,758.51 is: 4,138.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,997.64 : 13,498.44 = 2,758.51 : x
  2. Step 2: Convert to fraction form
    8,997.64/13,498.44 = 2,758.51/x
  3. Step 3: Cross multiply
    8,997.64x = 13,498.44 × 2,758.51
  4. Step 4: Simplify right side
    8,997.64x = 37,235,581.72
  5. Step 5: Solve for x
    x = 37,235,581.72/8,997.64
  6. Step 6: Final answer
    x = 4,138.37

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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.