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Finding the Fourth Proportional to 6,300, 9,443.61 and 2,604.29

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Solution

The fourth proportional to 6,300, 9,443.61 and 2,604.29 is: 3,903.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,300 : 9,443.61 = 2,604.29 : x
  2. Step 2: Convert to fraction form
    6,300/9,443.61 = 2,604.29/x
  3. Step 3: Cross multiply
    6,300x = 9,443.61 × 2,604.29
  4. Step 4: Simplify right side
    6,300x = 24,593,851.87
  5. Step 5: Solve for x
    x = 24,593,851.87/6,300
  6. Step 6: Final answer
    x = 3,903.79

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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.