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Finding the Fourth Proportional to 6,154.83, 8,494.20 and 5,033.39

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Solution

The fourth proportional to 6,154.83, 8,494.20 and 5,033.39 is: 6,946.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154.83 : 8,494.20 = 5,033.39 : x
  2. Step 2: Convert to fraction form
    6,154.83/8,494.20 = 5,033.39/x
  3. Step 3: Cross multiply
    6,154.83x = 8,494.20 × 5,033.39
  4. Step 4: Simplify right side
    6,154.83x = 42,754,578.87
  5. Step 5: Solve for x
    x = 42,754,578.87/6,154.83
  6. Step 6: Final answer
    x = 6,946.51

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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.