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Finding the Fourth Proportional to 6,297.68, 8,674.70 and 5,233.52

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Solution

The fourth proportional to 6,297.68, 8,674.70 and 5,233.52 is: 7,208.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.68 : 8,674.70 = 5,233.52 : x
  2. Step 2: Convert to fraction form
    6,297.68/8,674.70 = 5,233.52/x
  3. Step 3: Cross multiply
    6,297.68x = 8,674.70 × 5,233.52
  4. Step 4: Simplify right side
    6,297.68x = 45,399,215.94
  5. Step 5: Solve for x
    x = 45,399,215.94/6,297.68
  6. Step 6: Final answer
    x = 7,208.88

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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.