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Finding the Fourth Proportional to 4,650.96, 6,414.48 and 3,156.42

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Solution

The fourth proportional to 4,650.96, 6,414.48 and 3,156.42 is: 4,353.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,650.96 : 6,414.48 = 3,156.42 : x
  2. Step 2: Convert to fraction form
    4,650.96/6,414.48 = 3,156.42/x
  3. Step 3: Cross multiply
    4,650.96x = 6,414.48 × 3,156.42
  4. Step 4: Simplify right side
    4,650.96x = 20,246,792.96
  5. Step 5: Solve for x
    x = 20,246,792.96/4,650.96
  6. Step 6: Final answer
    x = 4,353.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.