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Finding the Fourth Proportional to 12,637, 18,966.78 and 6,637.96

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Solution

The fourth proportional to 12,637, 18,966.78 and 6,637.96 is: 9,962.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,637 : 18,966.78 = 6,637.96 : x
  2. Step 2: Convert to fraction form
    12,637/18,966.78 = 6,637.96/x
  3. Step 3: Cross multiply
    12,637x = 18,966.78 × 6,637.96
  4. Step 4: Simplify right side
    12,637x = 125,900,726.97
  5. Step 5: Solve for x
    x = 125,900,726.97/12,637
  6. Step 6: Final answer
    x = 9,962.87

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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.