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Finding the Fourth Proportional to 6,757.26, 10,084.64 and 6,582.30

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Solution

The fourth proportional to 6,757.26, 10,084.64 and 6,582.30 is: 9,823.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,757.26 : 10,084.64 = 6,582.30 : x
  2. Step 2: Convert to fraction form
    6,757.26/10,084.64 = 6,582.30/x
  3. Step 3: Cross multiply
    6,757.26x = 10,084.64 × 6,582.30
  4. Step 4: Simplify right side
    6,757.26x = 66,380,092.96
  5. Step 5: Solve for x
    x = 66,380,092.96/6,757.26
  6. Step 6: Final answer
    x = 9,823.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.