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Finding the Fourth Proportional to 11,740, 17,610 and 4,444

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Solution

The fourth proportional to 11,740, 17,610 and 4,444 is: 6,666

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,740 : 17,610 = 4,444 : x
  2. Step 2: Convert to fraction form
    11,740/17,610 = 4,444/x
  3. Step 3: Cross multiply
    11,740x = 17,610 × 4,444
  4. Step 4: Simplify right side
    11,740x = 78,258,840
  5. Step 5: Solve for x
    x = 78,258,840/11,740
  6. Step 6: Final answer
    x = 6,666

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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.