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Finding the Fourth Proportional to 6,796.48, 9,380.64 and 4,312

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Solution

The fourth proportional to 6,796.48, 9,380.64 and 4,312 is: 5,951.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,796.48 : 9,380.64 = 4,312 : x
  2. Step 2: Convert to fraction form
    6,796.48/9,380.64 = 4,312/x
  3. Step 3: Cross multiply
    6,796.48x = 9,380.64 × 4,312
  4. Step 4: Simplify right side
    6,796.48x = 40,449,319.68
  5. Step 5: Solve for x
    x = 40,449,319.68/6,796.48
  6. Step 6: Final answer
    x = 5,951.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.