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Finding the Fourth Proportional to 6,191.67, 9,265.97 and 5,831.84

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Solution

The fourth proportional to 6,191.67, 9,265.97 and 5,831.84 is: 8,727.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,191.67 : 9,265.97 = 5,831.84 : x
  2. Step 2: Convert to fraction form
    6,191.67/9,265.97 = 5,831.84/x
  3. Step 3: Cross multiply
    6,191.67x = 9,265.97 × 5,831.84
  4. Step 4: Simplify right side
    6,191.67x = 54,037,579.00
  5. Step 5: Solve for x
    x = 54,037,579.00/6,191.67
  6. Step 6: Final answer
    x = 8,727.46

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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.