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Finding the Fourth Proportional to 6,160.53, 9,238.39 and 1,999.53

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Solution

The fourth proportional to 6,160.53, 9,238.39 and 1,999.53 is: 2,998.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,160.53 : 9,238.39 = 1,999.53 : x
  2. Step 2: Convert to fraction form
    6,160.53/9,238.39 = 1,999.53/x
  3. Step 3: Cross multiply
    6,160.53x = 9,238.39 × 1,999.53
  4. Step 4: Simplify right side
    6,160.53x = 18,472,437.96
  5. Step 5: Solve for x
    x = 18,472,437.96/6,160.53
  6. Step 6: Final answer
    x = 2,998.51

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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.