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Finding the Fourth Proportional to 16,583.56, 24,881.82 and 6,196.12

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Solution

The fourth proportional to 16,583.56, 24,881.82 and 6,196.12 is: 9,296.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,583.56 : 24,881.82 = 6,196.12 : x
  2. Step 2: Convert to fraction form
    16,583.56/24,881.82 = 6,196.12/x
  3. Step 3: Cross multiply
    16,583.56x = 24,881.82 × 6,196.12
  4. Step 4: Simplify right side
    16,583.56x = 154,170,742.54
  5. Step 5: Solve for x
    x = 154,170,742.54/16,583.56
  6. Step 6: Final answer
    x = 9,296.60

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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.