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Finding the Fourth Proportional to 6,770.88, 9,345.28 and 3,976.64

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Solution

The fourth proportional to 6,770.88, 9,345.28 and 3,976.64 is: 5,488.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,770.88 : 9,345.28 = 3,976.64 : x
  2. Step 2: Convert to fraction form
    6,770.88/9,345.28 = 3,976.64/x
  3. Step 3: Cross multiply
    6,770.88x = 9,345.28 × 3,976.64
  4. Step 4: Simplify right side
    6,770.88x = 37,162,814.26
  5. Step 5: Solve for x
    x = 37,162,814.26/6,770.88
  6. Step 6: Final answer
    x = 5,488.62

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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.