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Finding the Fourth Proportional to 9,518.87, 14,279.13 and 2,498.85

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Solution

The fourth proportional to 9,518.87, 14,279.13 and 2,498.85 is: 3,748.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,518.87 : 14,279.13 = 2,498.85 : x
  2. Step 2: Convert to fraction form
    9,518.87/14,279.13 = 2,498.85/x
  3. Step 3: Cross multiply
    9,518.87x = 14,279.13 × 2,498.85
  4. Step 4: Simplify right side
    9,518.87x = 35,681,404.00
  5. Step 5: Solve for x
    x = 35,681,404.00/9,518.87
  6. Step 6: Final answer
    x = 3,748.49

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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.