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Finding the Fourth Proportional to 4,617.72, 6,926.36 and 2,151.68

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Solution

The fourth proportional to 4,617.72, 6,926.36 and 2,151.68 is: 3,227.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,617.72 : 6,926.36 = 2,151.68 : x
  2. Step 2: Convert to fraction form
    4,617.72/6,926.36 = 2,151.68/x
  3. Step 3: Cross multiply
    4,617.72x = 6,926.36 × 2,151.68
  4. Step 4: Simplify right side
    4,617.72x = 14,903,310.28
  5. Step 5: Solve for x
    x = 14,903,310.28/4,617.72
  6. Step 6: Final answer
    x = 3,227.42

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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.