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Finding the Fourth Proportional to 15,740, 23,610 and 4,796

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Solution

The fourth proportional to 15,740, 23,610 and 4,796 is: 7,194

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,740 : 23,610 = 4,796 : x
  2. Step 2: Convert to fraction form
    15,740/23,610 = 4,796/x
  3. Step 3: Cross multiply
    15,740x = 23,610 × 4,796
  4. Step 4: Simplify right side
    15,740x = 113,233,560
  5. Step 5: Solve for x
    x = 113,233,560/15,740
  6. Step 6: Final answer
    x = 7,194

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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.