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Finding the Fourth Proportional to 12,176.33, 16,803.36 and 6,798.74

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Solution

The fourth proportional to 12,176.33, 16,803.36 and 6,798.74 is: 9,382.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,176.33 : 16,803.36 = 6,798.74 : x
  2. Step 2: Convert to fraction form
    12,176.33/16,803.36 = 6,798.74/x
  3. Step 3: Cross multiply
    12,176.33x = 16,803.36 × 6,798.74
  4. Step 4: Simplify right side
    12,176.33x = 114,241,591.75
  5. Step 5: Solve for x
    x = 114,241,591.75/12,176.33
  6. Step 6: Final answer
    x = 9,382.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.