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Finding the Fourth Proportional to 6,498.99, 8,968.61 and 3,514.83

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Solution

The fourth proportional to 6,498.99, 8,968.61 and 3,514.83 is: 4,850.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498.99 : 8,968.61 = 3,514.83 : x
  2. Step 2: Convert to fraction form
    6,498.99/8,968.61 = 3,514.83/x
  3. Step 3: Cross multiply
    6,498.99x = 8,968.61 × 3,514.83
  4. Step 4: Simplify right side
    6,498.99x = 31,523,139.49
  5. Step 5: Solve for x
    x = 31,523,139.49/6,498.99
  6. Step 6: Final answer
    x = 4,850.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.