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Finding the Fourth Proportional to 11,473.84, 17,212.48 and 4,900

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Solution

The fourth proportional to 11,473.84, 17,212.48 and 4,900 is: 7,350.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,473.84 : 17,212.48 = 4,900 : x
  2. Step 2: Convert to fraction form
    11,473.84/17,212.48 = 4,900/x
  3. Step 3: Cross multiply
    11,473.84x = 17,212.48 × 4,900
  4. Step 4: Simplify right side
    11,473.84x = 84,341,152
  5. Step 5: Solve for x
    x = 84,341,152/11,473.84
  6. Step 6: Final answer
    x = 7,350.73

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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.