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Finding the Fourth Proportional to 4,616.92, 6,926.46 and 3,156.76

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Solution

The fourth proportional to 4,616.92, 6,926.46 and 3,156.76 is: 4,735.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616.92 : 6,926.46 = 3,156.76 : x
  2. Step 2: Convert to fraction form
    4,616.92/6,926.46 = 3,156.76/x
  3. Step 3: Cross multiply
    4,616.92x = 6,926.46 × 3,156.76
  4. Step 4: Simplify right side
    4,616.92x = 21,865,171.87
  5. Step 5: Solve for x
    x = 21,865,171.87/4,616.92
  6. Step 6: Final answer
    x = 4,735.88

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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.