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Finding the Fourth Proportional to 6,729.48, 9,284.40 and 4,072.26

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Solution

The fourth proportional to 6,729.48, 9,284.40 and 4,072.26 is: 5,618.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,729.48 : 9,284.40 = 4,072.26 : x
  2. Step 2: Convert to fraction form
    6,729.48/9,284.40 = 4,072.26/x
  3. Step 3: Cross multiply
    6,729.48x = 9,284.40 × 4,072.26
  4. Step 4: Simplify right side
    6,729.48x = 37,808,490.74
  5. Step 5: Solve for x
    x = 37,808,490.74/6,729.48
  6. Step 6: Final answer
    x = 5,618.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.