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Finding the Fourth Proportional to 4,999.82, 7,499.46 and 1,537.08

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Solution

The fourth proportional to 4,999.82, 7,499.46 and 1,537.08 is: 2,305.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,999.82 : 7,499.46 = 1,537.08 : x
  2. Step 2: Convert to fraction form
    4,999.82/7,499.46 = 1,537.08/x
  3. Step 3: Cross multiply
    4,999.82x = 7,499.46 × 1,537.08
  4. Step 4: Simplify right side
    4,999.82x = 11,527,269.98
  5. Step 5: Solve for x
    x = 11,527,269.98/4,999.82
  6. Step 6: Final answer
    x = 2,305.54

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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.