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Finding the Fourth Proportional to 6,169.80, 9,254.70 and 4,096.20

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Solution

The fourth proportional to 6,169.80, 9,254.70 and 4,096.20 is: 6,144.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,169.80 : 9,254.70 = 4,096.20 : x
  2. Step 2: Convert to fraction form
    6,169.80/9,254.70 = 4,096.20/x
  3. Step 3: Cross multiply
    6,169.80x = 9,254.70 × 4,096.20
  4. Step 4: Simplify right side
    6,169.80x = 37,909,102.14
  5. Step 5: Solve for x
    x = 37,909,102.14/6,169.80
  6. Step 6: Final answer
    x = 6,144.30

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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.