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Finding the Fourth Proportional to 6,830.46, 10,247.34 and 2,387.46

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Solution

The fourth proportional to 6,830.46, 10,247.34 and 2,387.46 is: 3,581.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830.46 : 10,247.34 = 2,387.46 : x
  2. Step 2: Convert to fraction form
    6,830.46/10,247.34 = 2,387.46/x
  3. Step 3: Cross multiply
    6,830.46x = 10,247.34 × 2,387.46
  4. Step 4: Simplify right side
    6,830.46x = 24,465,114.36
  5. Step 5: Solve for x
    x = 24,465,114.36/6,830.46
  6. Step 6: Final answer
    x = 3,581.77

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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.