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Finding the Fourth Proportional to 4,873.70, 7,311.70 and 1,586.79

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Solution

The fourth proportional to 4,873.70, 7,311.70 and 1,586.79 is: 2,380.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,873.70 : 7,311.70 = 1,586.79 : x
  2. Step 2: Convert to fraction form
    4,873.70/7,311.70 = 1,586.79/x
  3. Step 3: Cross multiply
    4,873.70x = 7,311.70 × 1,586.79
  4. Step 4: Simplify right side
    4,873.70x = 11,602,132.44
  5. Step 5: Solve for x
    x = 11,602,132.44/4,873.70
  6. Step 6: Final answer
    x = 2,380.56

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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.