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Finding the Fourth Proportional to 6,046.80, 9,073.71 and 2,536.50

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Solution

The fourth proportional to 6,046.80, 9,073.71 and 2,536.50 is: 3,806.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,046.80 : 9,073.71 = 2,536.50 : x
  2. Step 2: Convert to fraction form
    6,046.80/9,073.71 = 2,536.50/x
  3. Step 3: Cross multiply
    6,046.80x = 9,073.71 × 2,536.50
  4. Step 4: Simplify right side
    6,046.80x = 23,015,460.66
  5. Step 5: Solve for x
    x = 23,015,460.66/6,046.80
  6. Step 6: Final answer
    x = 3,806.22

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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.