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Finding the Fourth Proportional to 7,010.76, 9,674.82 and 3,867

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Solution

The fourth proportional to 7,010.76, 9,674.82 and 3,867 is: 5,336.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,010.76 : 9,674.82 = 3,867 : x
  2. Step 2: Convert to fraction form
    7,010.76/9,674.82 = 3,867/x
  3. Step 3: Cross multiply
    7,010.76x = 9,674.82 × 3,867
  4. Step 4: Simplify right side
    7,010.76x = 37,412,528.94
  5. Step 5: Solve for x
    x = 37,412,528.94/7,010.76
  6. Step 6: Final answer
    x = 5,336.44

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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.