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Finding the Fourth Proportional to 10,444, 15,666 and 3,148

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Solution

The fourth proportional to 10,444, 15,666 and 3,148 is: 4,722

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,444 : 15,666 = 3,148 : x
  2. Step 2: Convert to fraction form
    10,444/15,666 = 3,148/x
  3. Step 3: Cross multiply
    10,444x = 15,666 × 3,148
  4. Step 4: Simplify right side
    10,444x = 49,316,568
  5. Step 5: Solve for x
    x = 49,316,568/10,444
  6. Step 6: Final answer
    x = 4,722

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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.