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Finding the Fourth Proportional to 4,462.53, 6,691.32 and 1,999.71

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Solution

The fourth proportional to 4,462.53, 6,691.32 and 1,999.71 is: 2,998.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,462.53 : 6,691.32 = 1,999.71 : x
  2. Step 2: Convert to fraction form
    4,462.53/6,691.32 = 1,999.71/x
  3. Step 3: Cross multiply
    4,462.53x = 6,691.32 × 1,999.71
  4. Step 4: Simplify right side
    4,462.53x = 13,380,699.52
  5. Step 5: Solve for x
    x = 13,380,699.52/4,462.53
  6. Step 6: Final answer
    x = 2,998.46

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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.