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Finding the Fourth Proportional to 6,504.75, 9,721.31 and 4,753.41

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Solution

The fourth proportional to 6,504.75, 9,721.31 and 4,753.41 is: 7,103.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.75 : 9,721.31 = 4,753.41 : x
  2. Step 2: Convert to fraction form
    6,504.75/9,721.31 = 4,753.41/x
  3. Step 3: Cross multiply
    6,504.75x = 9,721.31 × 4,753.41
  4. Step 4: Simplify right side
    6,504.75x = 46,209,348.40
  5. Step 5: Solve for x
    x = 46,209,348.40/6,504.75
  6. Step 6: Final answer
    x = 7,103.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.