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Finding the Fourth Proportional to 7,810, 11,715 and 2,338

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Solution

The fourth proportional to 7,810, 11,715 and 2,338 is: 3,507

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,810 : 11,715 = 2,338 : x
  2. Step 2: Convert to fraction form
    7,810/11,715 = 2,338/x
  3. Step 3: Cross multiply
    7,810x = 11,715 × 2,338
  4. Step 4: Simplify right side
    7,810x = 27,389,670
  5. Step 5: Solve for x
    x = 27,389,670/7,810
  6. Step 6: Final answer
    x = 3,507

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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.