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Finding the Fourth Proportional to 10,798.61, 16,179.68 and 6,629.94

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Solution

The fourth proportional to 10,798.61, 16,179.68 and 6,629.94 is: 9,933.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,798.61 : 16,179.68 = 6,629.94 : x
  2. Step 2: Convert to fraction form
    10,798.61/16,179.68 = 6,629.94/x
  3. Step 3: Cross multiply
    10,798.61x = 16,179.68 × 6,629.94
  4. Step 4: Simplify right side
    10,798.61x = 107,270,274.47
  5. Step 5: Solve for x
    x = 107,270,274.47/10,798.61
  6. Step 6: Final answer
    x = 9,933.72

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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.