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Finding the Fourth Proportional to 6,971.82, 9,620.85 and 3,827.98

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Solution

The fourth proportional to 6,971.82, 9,620.85 and 3,827.98 is: 5,282.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,971.82 : 9,620.85 = 3,827.98 : x
  2. Step 2: Convert to fraction form
    6,971.82/9,620.85 = 3,827.98/x
  3. Step 3: Cross multiply
    6,971.82x = 9,620.85 × 3,827.98
  4. Step 4: Simplify right side
    6,971.82x = 36,828,421.38
  5. Step 5: Solve for x
    x = 36,828,421.38/6,971.82
  6. Step 6: Final answer
    x = 5,282.47

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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.