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Finding the Fourth Proportional to 6,266.40, 9,398.10 and 3,628.20

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Solution

The fourth proportional to 6,266.40, 9,398.10 and 3,628.20 is: 5,441.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,266.40 : 9,398.10 = 3,628.20 : x
  2. Step 2: Convert to fraction form
    6,266.40/9,398.10 = 3,628.20/x
  3. Step 3: Cross multiply
    6,266.40x = 9,398.10 × 3,628.20
  4. Step 4: Simplify right side
    6,266.40x = 34,098,186.42
  5. Step 5: Solve for x
    x = 34,098,186.42/6,266.40
  6. Step 6: Final answer
    x = 5,441.43

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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.