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Finding the Fourth Proportional to 12,644.10, 18,965.61 and 6,050.16

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Solution

The fourth proportional to 12,644.10, 18,965.61 and 6,050.16 is: 9,074.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,644.10 : 18,965.61 = 6,050.16 : x
  2. Step 2: Convert to fraction form
    12,644.10/18,965.61 = 6,050.16/x
  3. Step 3: Cross multiply
    12,644.10x = 18,965.61 × 6,050.16
  4. Step 4: Simplify right side
    12,644.10x = 114,744,975.00
  5. Step 5: Solve for x
    x = 114,744,975.00/12,644.10
  6. Step 6: Final answer
    x = 9,074.98

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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.