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Finding the Fourth Proportional to 4,601.68, 6,350.76 and 2,834.32

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Solution

The fourth proportional to 4,601.68, 6,350.76 and 2,834.32 is: 3,911.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,601.68 : 6,350.76 = 2,834.32 : x
  2. Step 2: Convert to fraction form
    4,601.68/6,350.76 = 2,834.32/x
  3. Step 3: Cross multiply
    4,601.68x = 6,350.76 × 2,834.32
  4. Step 4: Simplify right side
    4,601.68x = 18,000,086.08
  5. Step 5: Solve for x
    x = 18,000,086.08/4,601.68
  6. Step 6: Final answer
    x = 3,911.63

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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.