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Finding the Fourth Proportional to 12,200.82, 16,837.28 and 6,823.81

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Solution

The fourth proportional to 12,200.82, 16,837.28 and 6,823.81 is: 9,416.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,200.82 : 16,837.28 = 6,823.81 : x
  2. Step 2: Convert to fraction form
    12,200.82/16,837.28 = 6,823.81/x
  3. Step 3: Cross multiply
    12,200.82x = 16,837.28 × 6,823.81
  4. Step 4: Simplify right side
    12,200.82x = 114,894,399.64
  5. Step 5: Solve for x
    x = 114,894,399.64/12,200.82
  6. Step 6: Final answer
    x = 9,416.94

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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.