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Finding the Fourth Proportional to 10,698.48, 16,044.48 and 2,906.28

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Solution

The fourth proportional to 10,698.48, 16,044.48 and 2,906.28 is: 4,358.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,698.48 : 16,044.48 = 2,906.28 : x
  2. Step 2: Convert to fraction form
    10,698.48/16,044.48 = 2,906.28/x
  3. Step 3: Cross multiply
    10,698.48x = 16,044.48 × 2,906.28
  4. Step 4: Simplify right side
    10,698.48x = 46,629,751.33
  5. Step 5: Solve for x
    x = 46,629,751.33/10,698.48
  6. Step 6: Final answer
    x = 4,358.54

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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.