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Finding the Fourth Proportional to 10,649.73, 15,974.73 and 5,969.01

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Solution

The fourth proportional to 10,649.73, 15,974.73 and 5,969.01 is: 8,953.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,649.73 : 15,974.73 = 5,969.01 : x
  2. Step 2: Convert to fraction form
    10,649.73/15,974.73 = 5,969.01/x
  3. Step 3: Cross multiply
    10,649.73x = 15,974.73 × 5,969.01
  4. Step 4: Simplify right side
    10,649.73x = 95,353,323.12
  5. Step 5: Solve for x
    x = 95,353,323.12/10,649.73
  6. Step 6: Final answer
    x = 8,953.59

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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.