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Finding the Fourth Proportional to 6,830.84, 10,247.33 and 2,448.20

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Solution

The fourth proportional to 6,830.84, 10,247.33 and 2,448.20 is: 3,672.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830.84 : 10,247.33 = 2,448.20 : x
  2. Step 2: Convert to fraction form
    6,830.84/10,247.33 = 2,448.20/x
  3. Step 3: Cross multiply
    6,830.84x = 10,247.33 × 2,448.20
  4. Step 4: Simplify right side
    6,830.84x = 25,087,513.31
  5. Step 5: Solve for x
    x = 25,087,513.31/6,830.84
  6. Step 6: Final answer
    x = 3,672.68

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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.