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Finding the Fourth Proportional to 43,674, 65,511 and 10,842

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Solution

The fourth proportional to 43,674, 65,511 and 10,842 is: 16,263

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,674 : 65,511 = 10,842 : x
  2. Step 2: Convert to fraction form
    43,674/65,511 = 10,842/x
  3. Step 3: Cross multiply
    43,674x = 65,511 × 10,842
  4. Step 4: Simplify right side
    43,674x = 710,270,262
  5. Step 5: Solve for x
    x = 710,270,262/43,674
  6. Step 6: Final answer
    x = 16,263

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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.