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Finding the Fourth Proportional to 10,649.69, 15,974.56 and 10,634.32

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Solution

The fourth proportional to 10,649.69, 15,974.56 and 10,634.32 is: 15,951.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,649.69 : 15,974.56 = 10,634.32 : x
  2. Step 2: Convert to fraction form
    10,649.69/15,974.56 = 10,634.32/x
  3. Step 3: Cross multiply
    10,649.69x = 15,974.56 × 10,634.32
  4. Step 4: Simplify right side
    10,649.69x = 169,878,616.16
  5. Step 5: Solve for x
    x = 169,878,616.16/10,649.69
  6. Step 6: Final answer
    x = 15,951.50

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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.