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Finding the Fourth Proportional to 6,461.20, 8,865.17 and 6,295.36

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Solution

The fourth proportional to 6,461.20, 8,865.17 and 6,295.36 is: 8,637.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461.20 : 8,865.17 = 6,295.36 : x
  2. Step 2: Convert to fraction form
    6,461.20/8,865.17 = 6,295.36/x
  3. Step 3: Cross multiply
    6,461.20x = 8,865.17 × 6,295.36
  4. Step 4: Simplify right side
    6,461.20x = 55,809,436.61
  5. Step 5: Solve for x
    x = 55,809,436.61/6,461.20
  6. Step 6: Final answer
    x = 8,637.63

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.