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Finding the Fourth Proportional to 13,078, 19,617 and 3,350

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Solution

The fourth proportional to 13,078, 19,617 and 3,350 is: 5,025

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,078 : 19,617 = 3,350 : x
  2. Step 2: Convert to fraction form
    13,078/19,617 = 3,350/x
  3. Step 3: Cross multiply
    13,078x = 19,617 × 3,350
  4. Step 4: Simplify right side
    13,078x = 65,716,950
  5. Step 5: Solve for x
    x = 65,716,950/13,078
  6. Step 6: Final answer
    x = 5,025

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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.