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Finding the Fourth Proportional to 6,064.24, 8,367.60 and 3,822.24

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Solution

The fourth proportional to 6,064.24, 8,367.60 and 3,822.24 is: 5,274.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,064.24 : 8,367.60 = 3,822.24 : x
  2. Step 2: Convert to fraction form
    6,064.24/8,367.60 = 3,822.24/x
  3. Step 3: Cross multiply
    6,064.24x = 8,367.60 × 3,822.24
  4. Step 4: Simplify right side
    6,064.24x = 31,982,975.42
  5. Step 5: Solve for x
    x = 31,982,975.42/6,064.24
  6. Step 6: Final answer
    x = 5,274.03

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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.