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Finding the Fourth Proportional to 10,970.74, 16,447.44 and 3,949.54

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Solution

The fourth proportional to 10,970.74, 16,447.44 and 3,949.54 is: 5,921.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,970.74 : 16,447.44 = 3,949.54 : x
  2. Step 2: Convert to fraction form
    10,970.74/16,447.44 = 3,949.54/x
  3. Step 3: Cross multiply
    10,970.74x = 16,447.44 × 3,949.54
  4. Step 4: Simplify right side
    10,970.74x = 64,959,822.18
  5. Step 5: Solve for x
    x = 64,959,822.18/10,970.74
  6. Step 6: Final answer
    x = 5,921.19

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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.