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Finding the Fourth Proportional to 4,496.63, 6,746.89 and 2,414.20

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Solution

The fourth proportional to 4,496.63, 6,746.89 and 2,414.20 is: 3,622.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,496.63 : 6,746.89 = 2,414.20 : x
  2. Step 2: Convert to fraction form
    4,496.63/6,746.89 = 2,414.20/x
  3. Step 3: Cross multiply
    4,496.63x = 6,746.89 × 2,414.20
  4. Step 4: Simplify right side
    4,496.63x = 16,288,344.24
  5. Step 5: Solve for x
    x = 16,288,344.24/4,496.63
  6. Step 6: Final answer
    x = 3,622.35

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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.