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Finding the Fourth Proportional to 9,956, 14,935.92 and 4,484

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Solution

The fourth proportional to 9,956, 14,935.92 and 4,484 is: 6,726.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,956 : 14,935.92 = 4,484 : x
  2. Step 2: Convert to fraction form
    9,956/14,935.92 = 4,484/x
  3. Step 3: Cross multiply
    9,956x = 14,935.92 × 4,484
  4. Step 4: Simplify right side
    9,956x = 66,972,665.28
  5. Step 5: Solve for x
    x = 66,972,665.28/9,956
  6. Step 6: Final answer
    x = 6,726.86

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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.