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Finding the Fourth Proportional to 6,830.28, 10,245.54 and 2,447.64

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Solution

The fourth proportional to 6,830.28, 10,245.54 and 2,447.64 is: 3,671.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830.28 : 10,245.54 = 2,447.64 : x
  2. Step 2: Convert to fraction form
    6,830.28/10,245.54 = 2,447.64/x
  3. Step 3: Cross multiply
    6,830.28x = 10,245.54 × 2,447.64
  4. Step 4: Simplify right side
    6,830.28x = 25,077,393.53
  5. Step 5: Solve for x
    x = 25,077,393.53/6,830.28
  6. Step 6: Final answer
    x = 3,671.50

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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.