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Finding the Fourth Proportional to 6,996.84, 9,655.65 and 3,853.04

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Solution

The fourth proportional to 6,996.84, 9,655.65 and 3,853.04 is: 5,317.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,996.84 : 9,655.65 = 3,853.04 : x
  2. Step 2: Convert to fraction form
    6,996.84/9,655.65 = 3,853.04/x
  3. Step 3: Cross multiply
    6,996.84x = 9,655.65 × 3,853.04
  4. Step 4: Simplify right side
    6,996.84x = 37,203,605.68
  5. Step 5: Solve for x
    x = 37,203,605.68/6,996.84
  6. Step 6: Final answer
    x = 5,317.20

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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.