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Finding the Fourth Proportional to 4,601.86, 6,902.07 and 1,523.86

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Solution

The fourth proportional to 4,601.86, 6,902.07 and 1,523.86 is: 2,285.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,601.86 : 6,902.07 = 1,523.86 : x
  2. Step 2: Convert to fraction form
    4,601.86/6,902.07 = 1,523.86/x
  3. Step 3: Cross multiply
    4,601.86x = 6,902.07 × 1,523.86
  4. Step 4: Simplify right side
    4,601.86x = 10,517,788.39
  5. Step 5: Solve for x
    x = 10,517,788.39/4,601.86
  6. Step 6: Final answer
    x = 2,285.55

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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.