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Finding the Fourth Proportional to 6,894.22, 10,332.06 and 3,769.54

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Solution

The fourth proportional to 6,894.22, 10,332.06 and 3,769.54 is: 5,649.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894.22 : 10,332.06 = 3,769.54 : x
  2. Step 2: Convert to fraction form
    6,894.22/10,332.06 = 3,769.54/x
  3. Step 3: Cross multiply
    6,894.22x = 10,332.06 × 3,769.54
  4. Step 4: Simplify right side
    6,894.22x = 38,947,113.45
  5. Step 5: Solve for x
    x = 38,947,113.45/6,894.22
  6. Step 6: Final answer
    x = 5,649.24

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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.