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Finding the Fourth Proportional to 6,883.74, 10,350.52 and 6,342.46

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Solution

The fourth proportional to 6,883.74, 10,350.52 and 6,342.46 is: 9,536.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,883.74 : 10,350.52 = 6,342.46 : x
  2. Step 2: Convert to fraction form
    6,883.74/10,350.52 = 6,342.46/x
  3. Step 3: Cross multiply
    6,883.74x = 10,350.52 × 6,342.46
  4. Step 4: Simplify right side
    6,883.74x = 65,647,759.08
  5. Step 5: Solve for x
    x = 65,647,759.08/6,883.74
  6. Step 6: Final answer
    x = 9,536.64

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1.5x scale

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.