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Finding the Fourth Proportional to 6,814.10, 10,221.15 and 6,554.90

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Solution

The fourth proportional to 6,814.10, 10,221.15 and 6,554.90 is: 9,832.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.10 : 10,221.15 = 6,554.90 : x
  2. Step 2: Convert to fraction form
    6,814.10/10,221.15 = 6,554.90/x
  3. Step 3: Cross multiply
    6,814.10x = 10,221.15 × 6,554.90
  4. Step 4: Simplify right side
    6,814.10x = 66,998,616.14
  5. Step 5: Solve for x
    x = 66,998,616.14/6,814.10
  6. Step 6: Final answer
    x = 9,832.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.