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Finding the Fourth Proportional to 6,830.46, 10,239.21 and 2,445.66

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Solution

The fourth proportional to 6,830.46, 10,239.21 and 2,445.66 is: 3,666.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830.46 : 10,239.21 = 2,445.66 : x
  2. Step 2: Convert to fraction form
    6,830.46/10,239.21 = 2,445.66/x
  3. Step 3: Cross multiply
    6,830.46x = 10,239.21 × 2,445.66
  4. Step 4: Simplify right side
    6,830.46x = 25,041,626.33
  5. Step 5: Solve for x
    x = 25,041,626.33/6,830.46
  6. Step 6: Final answer
    x = 3,666.17

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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.