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Finding the Fourth Proportional to 6,517.38, 9,753 and 4,053.36

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Solution

The fourth proportional to 6,517.38, 9,753 and 4,053.36 is: 6,065.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517.38 : 9,753 = 4,053.36 : x
  2. Step 2: Convert to fraction form
    6,517.38/9,753 = 4,053.36/x
  3. Step 3: Cross multiply
    6,517.38x = 9,753 × 4,053.36
  4. Step 4: Simplify right side
    6,517.38x = 39,532,420.08
  5. Step 5: Solve for x
    x = 39,532,420.08/6,517.38
  6. Step 6: Final answer
    x = 6,065.69

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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.