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Finding the Fourth Proportional to 4,600.08, 6,895.62 and 1,825.83

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Solution

The fourth proportional to 4,600.08, 6,895.62 and 1,825.83 is: 2,736.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600.08 : 6,895.62 = 1,825.83 : x
  2. Step 2: Convert to fraction form
    4,600.08/6,895.62 = 1,825.83/x
  3. Step 3: Cross multiply
    4,600.08x = 6,895.62 × 1,825.83
  4. Step 4: Simplify right side
    4,600.08x = 12,590,229.86
  5. Step 5: Solve for x
    x = 12,590,229.86/4,600.08
  6. Step 6: Final answer
    x = 2,736.96

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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.