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Finding the Fourth Proportional to 6,508.96, 9,768.90 and 2,814.01

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Solution

The fourth proportional to 6,508.96, 9,768.90 and 2,814.01 is: 4,223.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508.96 : 9,768.90 = 2,814.01 : x
  2. Step 2: Convert to fraction form
    6,508.96/9,768.90 = 2,814.01/x
  3. Step 3: Cross multiply
    6,508.96x = 9,768.90 × 2,814.01
  4. Step 4: Simplify right side
    6,508.96x = 27,489,782.29
  5. Step 5: Solve for x
    x = 27,489,782.29/6,508.96
  6. Step 6: Final answer
    x = 4,223.38

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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.