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Finding the Fourth Proportional to 6,699.28, 9,245.73 and 4,046.64

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Solution

The fourth proportional to 6,699.28, 9,245.73 and 4,046.64 is: 5,584.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,699.28 : 9,245.73 = 4,046.64 : x
  2. Step 2: Convert to fraction form
    6,699.28/9,245.73 = 4,046.64/x
  3. Step 3: Cross multiply
    6,699.28x = 9,245.73 × 4,046.64
  4. Step 4: Simplify right side
    6,699.28x = 37,414,140.85
  5. Step 5: Solve for x
    x = 37,414,140.85/6,699.28
  6. Step 6: Final answer
    x = 5,584.80

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1.5x scale

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.