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Finding the Fourth Proportional to 10,698.10, 16,047.18 and 2,906.91

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Solution

The fourth proportional to 10,698.10, 16,047.18 and 2,906.91 is: 4,360.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,698.10 : 16,047.18 = 2,906.91 : x
  2. Step 2: Convert to fraction form
    10,698.10/16,047.18 = 2,906.91/x
  3. Step 3: Cross multiply
    10,698.10x = 16,047.18 × 2,906.91
  4. Step 4: Simplify right side
    10,698.10x = 46,647,708.01
  5. Step 5: Solve for x
    x = 46,647,708.01/10,698.10
  6. Step 6: Final answer
    x = 4,360.37

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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.