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Finding the Fourth Proportional to 4,612.88, 6,913.38 and 1,687.70

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Solution

The fourth proportional to 4,612.88, 6,913.38 and 1,687.70 is: 2,529.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,612.88 : 6,913.38 = 1,687.70 : x
  2. Step 2: Convert to fraction form
    4,612.88/6,913.38 = 1,687.70/x
  3. Step 3: Cross multiply
    4,612.88x = 6,913.38 × 1,687.70
  4. Step 4: Simplify right side
    4,612.88x = 11,667,711.43
  5. Step 5: Solve for x
    x = 11,667,711.43/4,612.88
  6. Step 6: Final answer
    x = 2,529.38

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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.