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Finding the Fourth Proportional to 11,224.42, 16,818.02 and 6,828.58

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Solution

The fourth proportional to 11,224.42, 16,818.02 and 6,828.58 is: 10,231.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,224.42 : 16,818.02 = 6,828.58 : x
  2. Step 2: Convert to fraction form
    11,224.42/16,818.02 = 6,828.58/x
  3. Step 3: Cross multiply
    11,224.42x = 16,818.02 × 6,828.58
  4. Step 4: Simplify right side
    11,224.42x = 114,843,195.01
  5. Step 5: Solve for x
    x = 114,843,195.01/11,224.42
  6. Step 6: Final answer
    x = 10,231.55

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1.5x scale

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.