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Finding the Fourth Proportional to 7,111, 10,670.34 and 3,463

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Solution

The fourth proportional to 7,111, 10,670.34 and 3,463 is: 5,196.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,111 : 10,670.34 = 3,463 : x
  2. Step 2: Convert to fraction form
    7,111/10,670.34 = 3,463/x
  3. Step 3: Cross multiply
    7,111x = 10,670.34 × 3,463
  4. Step 4: Simplify right side
    7,111x = 36,951,387.42
  5. Step 5: Solve for x
    x = 36,951,387.42/7,111
  6. Step 6: Final answer
    x = 5,196.37

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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.