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Finding the Fourth Proportional to 10,798.88, 16,196 and 4,556.48

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Solution

The fourth proportional to 10,798.88, 16,196 and 4,556.48 is: 6,833.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,798.88 : 16,196 = 4,556.48 : x
  2. Step 2: Convert to fraction form
    10,798.88/16,196 = 4,556.48/x
  3. Step 3: Cross multiply
    10,798.88x = 16,196 × 4,556.48
  4. Step 4: Simplify right side
    10,798.88x = 73,796,750.08
  5. Step 5: Solve for x
    x = 73,796,750.08/10,798.88
  6. Step 6: Final answer
    x = 6,833.74

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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.