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Finding the Fourth Proportional to 10,419.44, 14,380.44 and 5,943.20

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Solution

The fourth proportional to 10,419.44, 14,380.44 and 5,943.20 is: 8,202.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,419.44 : 14,380.44 = 5,943.20 : x
  2. Step 2: Convert to fraction form
    10,419.44/14,380.44 = 5,943.20/x
  3. Step 3: Cross multiply
    10,419.44x = 14,380.44 × 5,943.20
  4. Step 4: Simplify right side
    10,419.44x = 85,465,831.01
  5. Step 5: Solve for x
    x = 85,465,831.01/10,419.44
  6. Step 6: Final answer
    x = 8,202.54

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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.