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Finding the Fourth Proportional to 14,147.49, 21,211.17 and 6,646.86

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Solution

The fourth proportional to 14,147.49, 21,211.17 and 6,646.86 is: 9,965.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,147.49 : 21,211.17 = 6,646.86 : x
  2. Step 2: Convert to fraction form
    14,147.49/21,211.17 = 6,646.86/x
  3. Step 3: Cross multiply
    14,147.49x = 21,211.17 × 6,646.86
  4. Step 4: Simplify right side
    14,147.49x = 140,987,652.50
  5. Step 5: Solve for x
    x = 140,987,652.50/14,147.49
  6. Step 6: Final answer
    x = 9,965.56

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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.