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Finding the Fourth Proportional to 4,548.42, 6,820.22 and 4,022.60

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Solution

The fourth proportional to 4,548.42, 6,820.22 and 4,022.60 is: 6,031.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,548.42 : 6,820.22 = 4,022.60 : x
  2. Step 2: Convert to fraction form
    4,548.42/6,820.22 = 4,022.60/x
  3. Step 3: Cross multiply
    4,548.42x = 6,820.22 × 4,022.60
  4. Step 4: Simplify right side
    4,548.42x = 27,434,970.30
  5. Step 5: Solve for x
    x = 27,434,970.30/4,548.42
  6. Step 6: Final answer
    x = 6,031.76

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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.