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Finding the Fourth Proportional to 6,204.58, 9,318.09 and 3,869.12

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Solution

The fourth proportional to 6,204.58, 9,318.09 and 3,869.12 is: 5,810.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,204.58 : 9,318.09 = 3,869.12 : x
  2. Step 2: Convert to fraction form
    6,204.58/9,318.09 = 3,869.12/x
  3. Step 3: Cross multiply
    6,204.58x = 9,318.09 × 3,869.12
  4. Step 4: Simplify right side
    6,204.58x = 36,052,831.68
  5. Step 5: Solve for x
    x = 36,052,831.68/6,204.58
  6. Step 6: Final answer
    x = 5,810.68

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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.