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Finding the Fourth Proportional to 14,848, 22,273.28 and 3,904

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Solution

The fourth proportional to 14,848, 22,273.28 and 3,904 is: 5,856.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,848 : 22,273.28 = 3,904 : x
  2. Step 2: Convert to fraction form
    14,848/22,273.28 = 3,904/x
  3. Step 3: Cross multiply
    14,848x = 22,273.28 × 3,904
  4. Step 4: Simplify right side
    14,848x = 86,954,885.12
  5. Step 5: Solve for x
    x = 86,954,885.12/14,848
  6. Step 6: Final answer
    x = 5,856.34

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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.