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Finding the Fourth Proportional to 43,564, 65,346 and 10,732

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Solution

The fourth proportional to 43,564, 65,346 and 10,732 is: 16,098

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,564 : 65,346 = 10,732 : x
  2. Step 2: Convert to fraction form
    43,564/65,346 = 10,732/x
  3. Step 3: Cross multiply
    43,564x = 65,346 × 10,732
  4. Step 4: Simplify right side
    43,564x = 701,293,272
  5. Step 5: Solve for x
    x = 701,293,272/43,564
  6. Step 6: Final answer
    x = 16,098

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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.