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Finding the Fourth Proportional to 12,434, 18,646.66 and 4,638.56

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Solution

The fourth proportional to 12,434, 18,646.66 and 4,638.56 is: 6,956.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,434 : 18,646.66 = 4,638.56 : x
  2. Step 2: Convert to fraction form
    12,434/18,646.66 = 4,638.56/x
  3. Step 3: Cross multiply
    12,434x = 18,646.66 × 4,638.56
  4. Step 4: Simplify right side
    12,434x = 86,493,651.21
  5. Step 5: Solve for x
    x = 86,493,651.21/12,434
  6. Step 6: Final answer
    x = 6,956.22

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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.