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Finding the Fourth Proportional to 6,203, 8,535.03 and 5,987.54

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Solution

The fourth proportional to 6,203, 8,535.03 and 5,987.54 is: 8,238.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,203 : 8,535.03 = 5,987.54 : x
  2. Step 2: Convert to fraction form
    6,203/8,535.03 = 5,987.54/x
  3. Step 3: Cross multiply
    6,203x = 8,535.03 × 5,987.54
  4. Step 4: Simplify right side
    6,203x = 51,103,833.53
  5. Step 5: Solve for x
    x = 51,103,833.53/6,203
  6. Step 6: Final answer
    x = 8,238.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.