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Finding the Fourth Proportional to 7,582, 11,373 and 2,110

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Solution

The fourth proportional to 7,582, 11,373 and 2,110 is: 3,165

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,582 : 11,373 = 2,110 : x
  2. Step 2: Convert to fraction form
    7,582/11,373 = 2,110/x
  3. Step 3: Cross multiply
    7,582x = 11,373 × 2,110
  4. Step 4: Simplify right side
    7,582x = 23,997,030
  5. Step 5: Solve for x
    x = 23,997,030/7,582
  6. Step 6: Final answer
    x = 3,165

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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.