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Finding the Fourth Proportional to 6,274.40, 9,410.10 and 3,636.20

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Solution

The fourth proportional to 6,274.40, 9,410.10 and 3,636.20 is: 5,453.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.40 : 9,410.10 = 3,636.20 : x
  2. Step 2: Convert to fraction form
    6,274.40/9,410.10 = 3,636.20/x
  3. Step 3: Cross multiply
    6,274.40x = 9,410.10 × 3,636.20
  4. Step 4: Simplify right side
    6,274.40x = 34,217,005.62
  5. Step 5: Solve for x
    x = 34,217,005.62/6,274.40
  6. Step 6: Final answer
    x = 5,453.43

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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.