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Finding the Fourth Proportional to 12,468.96, 18,717.12 and 6,227.22

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Solution

The fourth proportional to 12,468.96, 18,717.12 and 6,227.22 is: 9,347.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,468.96 : 18,717.12 = 6,227.22 : x
  2. Step 2: Convert to fraction form
    12,468.96/18,717.12 = 6,227.22/x
  3. Step 3: Cross multiply
    12,468.96x = 18,717.12 × 6,227.22
  4. Step 4: Simplify right side
    12,468.96x = 116,555,624.01
  5. Step 5: Solve for x
    x = 116,555,624.01/12,468.96
  6. Step 6: Final answer
    x = 9,347.66

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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.