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Finding the Fourth Proportional to 6,297.19, 8,634.86 and 6,133.17

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Solution

The fourth proportional to 6,297.19, 8,634.86 and 6,133.17 is: 8,409.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.19 : 8,634.86 = 6,133.17 : x
  2. Step 2: Convert to fraction form
    6,297.19/8,634.86 = 6,133.17/x
  3. Step 3: Cross multiply
    6,297.19x = 8,634.86 × 6,133.17
  4. Step 4: Simplify right side
    6,297.19x = 52,958,990.47
  5. Step 5: Solve for x
    x = 52,958,990.47/6,297.19
  6. Step 6: Final answer
    x = 8,409.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.