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Finding the Fourth Proportional to 6,174.68, 9,259.46 and 3,831.18

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Solution

The fourth proportional to 6,174.68, 9,259.46 and 3,831.18 is: 5,745.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,174.68 : 9,259.46 = 3,831.18 : x
  2. Step 2: Convert to fraction form
    6,174.68/9,259.46 = 3,831.18/x
  3. Step 3: Cross multiply
    6,174.68x = 9,259.46 × 3,831.18
  4. Step 4: Simplify right side
    6,174.68x = 35,474,657.96
  5. Step 5: Solve for x
    x = 35,474,657.96/6,174.68
  6. Step 6: Final answer
    x = 5,745.18

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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.