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Finding the Fourth Proportional to 7,448.82, 11,173.22 and 1,902.17

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Solution

The fourth proportional to 7,448.82, 11,173.22 and 1,902.17 is: 2,853.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,448.82 : 11,173.22 = 1,902.17 : x
  2. Step 2: Convert to fraction form
    7,448.82/11,173.22 = 1,902.17/x
  3. Step 3: Cross multiply
    7,448.82x = 11,173.22 × 1,902.17
  4. Step 4: Simplify right side
    7,448.82x = 21,253,363.89
  5. Step 5: Solve for x
    x = 21,253,363.89/7,448.82
  6. Step 6: Final answer
    x = 2,853.25

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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.