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Finding the Fourth Proportional to 6,144, 9,209.64 and 2,444.64

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Solution

The fourth proportional to 6,144, 9,209.64 and 2,444.64 is: 3,664.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144 : 9,209.64 = 2,444.64 : x
  2. Step 2: Convert to fraction form
    6,144/9,209.64 = 2,444.64/x
  3. Step 3: Cross multiply
    6,144x = 9,209.64 × 2,444.64
  4. Step 4: Simplify right side
    6,144x = 22,514,254.33
  5. Step 5: Solve for x
    x = 22,514,254.33/6,144
  6. Step 6: Final answer
    x = 3,664.43

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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.