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Finding the Fourth Proportional to 6,814.66, 10,219.47 and 2,430.94

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Solution

The fourth proportional to 6,814.66, 10,219.47 and 2,430.94 is: 3,645.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.66 : 10,219.47 = 2,430.94 : x
  2. Step 2: Convert to fraction form
    6,814.66/10,219.47 = 2,430.94/x
  3. Step 3: Cross multiply
    6,814.66x = 10,219.47 × 2,430.94
  4. Step 4: Simplify right side
    6,814.66x = 24,842,918.40
  5. Step 5: Solve for x
    x = 24,842,918.40/6,814.66
  6. Step 6: Final answer
    x = 3,645.51

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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.