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Finding the Fourth Proportional to 6,990.21, 10,538.89 and 6,514.38

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Solution

The fourth proportional to 6,990.21, 10,538.89 and 6,514.38 is: 9,821.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,990.21 : 10,538.89 = 6,514.38 : x
  2. Step 2: Convert to fraction form
    6,990.21/10,538.89 = 6,514.38/x
  3. Step 3: Cross multiply
    6,990.21x = 10,538.89 × 6,514.38
  4. Step 4: Simplify right side
    6,990.21x = 68,654,317.95
  5. Step 5: Solve for x
    x = 68,654,317.95/6,990.21
  6. Step 6: Final answer
    x = 9,821.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.