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Finding the Fourth Proportional to 4,827.06, 7,241.49 and 1,540.98

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Solution

The fourth proportional to 4,827.06, 7,241.49 and 1,540.98 is: 2,311.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,827.06 : 7,241.49 = 1,540.98 : x
  2. Step 2: Convert to fraction form
    4,827.06/7,241.49 = 1,540.98/x
  3. Step 3: Cross multiply
    4,827.06x = 7,241.49 × 1,540.98
  4. Step 4: Simplify right side
    4,827.06x = 11,158,991.26
  5. Step 5: Solve for x
    x = 11,158,991.26/4,827.06
  6. Step 6: Final answer
    x = 2,311.76

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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.