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Finding the Fourth Proportional to 43,276, 64,914 and 10,444

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Solution

The fourth proportional to 43,276, 64,914 and 10,444 is: 15,666

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,276 : 64,914 = 10,444 : x
  2. Step 2: Convert to fraction form
    43,276/64,914 = 10,444/x
  3. Step 3: Cross multiply
    43,276x = 64,914 × 10,444
  4. Step 4: Simplify right side
    43,276x = 677,961,816
  5. Step 5: Solve for x
    x = 677,961,816/43,276
  6. Step 6: Final answer
    x = 15,666

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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.