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Finding the Fourth Proportional to 6,901.54, 10,338.03 and 3,604.64

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Solution

The fourth proportional to 6,901.54, 10,338.03 and 3,604.64 is: 5,399.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,901.54 : 10,338.03 = 3,604.64 : x
  2. Step 2: Convert to fraction form
    6,901.54/10,338.03 = 3,604.64/x
  3. Step 3: Cross multiply
    6,901.54x = 10,338.03 × 3,604.64
  4. Step 4: Simplify right side
    6,901.54x = 37,264,824.77
  5. Step 5: Solve for x
    x = 37,264,824.77/6,901.54
  6. Step 6: Final answer
    x = 5,399.50

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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.