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Finding the Fourth Proportional to 24,632.12, 36,947.94 and 6,164.12

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Solution

The fourth proportional to 24,632.12, 36,947.94 and 6,164.12 is: 9,246.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,632.12 : 36,947.94 = 6,164.12 : x
  2. Step 2: Convert to fraction form
    24,632.12/36,947.94 = 6,164.12/x
  3. Step 3: Cross multiply
    24,632.12x = 36,947.94 × 6,164.12
  4. Step 4: Simplify right side
    24,632.12x = 227,751,535.91
  5. Step 5: Solve for x
    x = 227,751,535.91/24,632.12
  6. Step 6: Final answer
    x = 9,246.12

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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.