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Finding the Fourth Proportional to 12,200.69, 16,836.72 and 6,823.19

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Solution

The fourth proportional to 12,200.69, 16,836.72 and 6,823.19 is: 9,415.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,200.69 : 16,836.72 = 6,823.19 : x
  2. Step 2: Convert to fraction form
    12,200.69/16,836.72 = 6,823.19/x
  3. Step 3: Cross multiply
    12,200.69x = 16,836.72 × 6,823.19
  4. Step 4: Simplify right side
    12,200.69x = 114,880,055.35
  5. Step 5: Solve for x
    x = 114,880,055.35/12,200.69
  6. Step 6: Final answer
    x = 9,415.87

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1.5x scale

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.