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Finding the Fourth Proportional to 13,771.98, 20,652.66 and 4,410

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Solution

The fourth proportional to 13,771.98, 20,652.66 and 4,410 is: 6,613.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,771.98 : 20,652.66 = 4,410 : x
  2. Step 2: Convert to fraction form
    13,771.98/20,652.66 = 4,410/x
  3. Step 3: Cross multiply
    13,771.98x = 20,652.66 × 4,410
  4. Step 4: Simplify right side
    13,771.98x = 91,078,230.60
  5. Step 5: Solve for x
    x = 91,078,230.60/13,771.98
  6. Step 6: Final answer
    x = 6,613.30

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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.