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Finding the Fourth Proportional to 6,221.36, 8,596.40 and 4,972.71

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Solution

The fourth proportional to 6,221.36, 8,596.40 and 4,972.71 is: 6,871.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,221.36 : 8,596.40 = 4,972.71 : x
  2. Step 2: Convert to fraction form
    6,221.36/8,596.40 = 4,972.71/x
  3. Step 3: Cross multiply
    6,221.36x = 8,596.40 × 4,972.71
  4. Step 4: Simplify right side
    6,221.36x = 42,747,379.38
  5. Step 5: Solve for x
    x = 42,747,379.38/6,221.36
  6. Step 6: Final answer
    x = 6,871.07

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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.