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Finding the Fourth Proportional to 6,016.51, 9,010.04 and 3,677.50

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Solution

The fourth proportional to 6,016.51, 9,010.04 and 3,677.50 is: 5,507.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,016.51 : 9,010.04 = 3,677.50 : x
  2. Step 2: Convert to fraction form
    6,016.51/9,010.04 = 3,677.50/x
  3. Step 3: Cross multiply
    6,016.51x = 9,010.04 × 3,677.50
  4. Step 4: Simplify right side
    6,016.51x = 33,134,377.05
  5. Step 5: Solve for x
    x = 33,134,377.05/6,016.51
  6. Step 6: Final answer
    x = 5,507.25

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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.