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Finding the Fourth Proportional to 4,999.52, 7,499.82 and 1,537.04

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Solution

The fourth proportional to 4,999.52, 7,499.82 and 1,537.04 is: 2,305.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,999.52 : 7,499.82 = 1,537.04 : x
  2. Step 2: Convert to fraction form
    4,999.52/7,499.82 = 1,537.04/x
  3. Step 3: Cross multiply
    4,999.52x = 7,499.82 × 1,537.04
  4. Step 4: Simplify right side
    4,999.52x = 11,527,523.33
  5. Step 5: Solve for x
    x = 11,527,523.33/4,999.52
  6. Step 6: Final answer
    x = 2,305.73

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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.