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Finding the Fourth Proportional to 6,393.54, 8,824.14 and 4,004.42

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Solution

The fourth proportional to 6,393.54, 8,824.14 and 4,004.42 is: 5,526.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,393.54 : 8,824.14 = 4,004.42 : x
  2. Step 2: Convert to fraction form
    6,393.54/8,824.14 = 4,004.42/x
  3. Step 3: Cross multiply
    6,393.54x = 8,824.14 × 4,004.42
  4. Step 4: Simplify right side
    6,393.54x = 35,335,562.70
  5. Step 5: Solve for x
    x = 35,335,562.70/6,393.54
  6. Step 6: Final answer
    x = 5,526.76

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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.