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Finding the Fourth Proportional to 7,448.48, 11,169.72 and 3,232

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Solution

The fourth proportional to 7,448.48, 11,169.72 and 3,232 is: 4,846.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,448.48 : 11,169.72 = 3,232 : x
  2. Step 2: Convert to fraction form
    7,448.48/11,169.72 = 3,232/x
  3. Step 3: Cross multiply
    7,448.48x = 11,169.72 × 3,232
  4. Step 4: Simplify right side
    7,448.48x = 36,100,535.04
  5. Step 5: Solve for x
    x = 36,100,535.04/7,448.48
  6. Step 6: Final answer
    x = 4,846.70

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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.