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Finding the Fourth Proportional to 8,414.66, 12,622.68 and 2,410.68

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Solution

The fourth proportional to 8,414.66, 12,622.68 and 2,410.68 is: 3,616.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414.66 : 12,622.68 = 2,410.68 : x
  2. Step 2: Convert to fraction form
    8,414.66/12,622.68 = 2,410.68/x
  3. Step 3: Cross multiply
    8,414.66x = 12,622.68 × 2,410.68
  4. Step 4: Simplify right side
    8,414.66x = 30,429,242.22
  5. Step 5: Solve for x
    x = 30,429,242.22/8,414.66
  6. Step 6: Final answer
    x = 3,616.22

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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.