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Finding the Fourth Proportional to 10,624, 15,938.56 and 3,328

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Solution

The fourth proportional to 10,624, 15,938.56 and 3,328 is: 4,992.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,624 : 15,938.56 = 3,328 : x
  2. Step 2: Convert to fraction form
    10,624/15,938.56 = 3,328/x
  3. Step 3: Cross multiply
    10,624x = 15,938.56 × 3,328
  4. Step 4: Simplify right side
    10,624x = 53,043,527.68
  5. Step 5: Solve for x
    x = 53,043,527.68/10,624
  6. Step 6: Final answer
    x = 4,992.80

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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.