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Finding the Fourth Proportional to 10,649.76, 15,974.76 and 5,969.04

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Solution

The fourth proportional to 10,649.76, 15,974.76 and 5,969.04 is: 8,953.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,649.76 : 15,974.76 = 5,969.04 : x
  2. Step 2: Convert to fraction form
    10,649.76/15,974.76 = 5,969.04/x
  3. Step 3: Cross multiply
    10,649.76x = 15,974.76 × 5,969.04
  4. Step 4: Simplify right side
    10,649.76x = 95,353,981.43
  5. Step 5: Solve for x
    x = 95,353,981.43/10,649.76
  6. Step 6: Final answer
    x = 8,953.63

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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.