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Finding the Fourth Proportional to 4,892.50, 7,337.21 and 1,604.82

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Solution

The fourth proportional to 4,892.50, 7,337.21 and 1,604.82 is: 2,406.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,892.50 : 7,337.21 = 1,604.82 : x
  2. Step 2: Convert to fraction form
    4,892.50/7,337.21 = 1,604.82/x
  3. Step 3: Cross multiply
    4,892.50x = 7,337.21 × 1,604.82
  4. Step 4: Simplify right side
    4,892.50x = 11,774,902.36
  5. Step 5: Solve for x
    x = 11,774,902.36/4,892.50
  6. Step 6: Final answer
    x = 2,406.73

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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.